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What is Trigonometry? Basic Concepts that will give you a better idea of Trigonometry. What can you do with Trigonometry...

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Trigonometry

Trigonometry is the study of relationships between the sides and angles of triangles. It has its origins over 4000 years ago in ancient Egypt, Mesopotamia, and the Indus Valley. The first recorded use was by the Greek mathematician Hipparchus around 150 BC. Trigonometry defines trigonometric functions like sine, cosine, and tangent that relate angles and sides of a triangle. It has many applications in fields like astronomy, navigation, engineering, and more.

trigonometry and application

Trigonometry is derived from Greek words meaning "three angles" and "measure". It deals with relationships between sides and angles of triangles, especially right triangles. The document discusses the history of trigonometry dating back to ancient Egypt and Babylon, and how it advanced through the works of Greek astronomer Hipparchus and Ptolemy. It also discusses the six trigonometric ratios and their formulas, various trigonometric identities, and applications of trigonometry in fields like architecture, engineering, astronomy, music, optics, and more.

Some applications of trigonometry

Trigonometry studies triangles and relationships between sides and angles. This document discusses using trigonometric ratios to calculate heights and distances, including the angles of elevation and depression. It provides examples of using trigonometry to find the height of a tower from the angle of elevation measured 30 meters away (30 meters high), and the height of a pole from the angle made by a rope tied to its top (10 meters high). It also explains calculating the length of a kite string from the angle of elevation.

Introduction to trigonometry

This document discusses trigonometric ratios and identities. It defines trigonometric ratios as relationships between sides and angles of a right triangle. Specific ratios are defined for angles of 0, 30, 45, 60, and 90 degrees. Complementary angle identities are examined, showing ratios are equal for complementary angles (e.g. sin(90-A)=cos(A)). Trigonometric identities are derived from the Pythagorean theorem, including cos^2(A) + sin^2(A) = 1, sec^2(A) = 1 + tan^2(A), and cot^2(A) + 1 = cosec^2(A). Examples are provided to demonstrate using identities when

Mathematics ppt on trigonometry

Trigonometry is a branch of mathematics that studies relationships involving lengths and angles of triangles. It emerged during the 3rd century BC from applications of geometry to astronomy. Hipparchus is considered the founder of trigonometry, compiling the first trigonometric table in the 2nd century BC. Key trigonometric functions like sine, cosine, and tangent were discovered between the 5th-10th centuries CE by mathematicians including Aryabhata, Muhammad ibn Musa al-Khwarizmi, and Abu al-Wafa. Trigonometry is applied to calculate angles of elevation and depression used in applications like determining the angle an airplane is viewed from the ground.

Trigonometry

This document provides an overview of trigonometry presented by Vijay. It begins by listing the materials needed and encouraging note taking. The presentation then defines trigonometric ratios like sine, cosine and tangent using a right triangle. It also covers trigonometric ratios of specific angles like 45 and 30 degrees as well as complementary angles. The document concludes by explaining several trigonometric identities and providing a short summary of key points.

Trigonometry

The document discusses trigonometry and its uses in navigation, measuring heights and distances, and astronomical studies. It provides examples of trigonometric ratios like sine, cosine, and tangent for common angles. It then explains concepts like line of sight, angle of elevation and depression. It gives two word problems as examples - one calculating the height of a building given the observer's distance and angle of elevation, and another calculating the height a bird is flying given the angle of depression and distance to an object on the ground.

history of trigonometry

Trigonometry is the branch of mathematics concerned with specific functions of angles and their application to calculations. There are six trigonometric functions - sine, cosine, tangent, cotangent, secant, and cosecant. Trigonometry originated in ancient civilizations for practical geometry applications and was further developed by Greek mathematicians like Hipparchus and Ptolemy. Indian and later Islamic mathematicians made important contributions, including the first tables of sines and tangents. Trigonometry was an important tool for astronomy and passed to Europe during the Middle Ages, with major works by Menelaus and Regiomontanus.

Trigonometry

Trigonometry is the study of relationships between the sides and angles of triangles. It has its origins over 4000 years ago in ancient Egypt, Mesopotamia, and the Indus Valley. The first recorded use was by the Greek mathematician Hipparchus around 150 BC. Trigonometry defines trigonometric functions like sine, cosine, and tangent that relate angles and sides of a triangle. It has many applications in fields like astronomy, navigation, engineering, and more.

trigonometry and application

Trigonometry is derived from Greek words meaning "three angles" and "measure". It deals with relationships between sides and angles of triangles, especially right triangles. The document discusses the history of trigonometry dating back to ancient Egypt and Babylon, and how it advanced through the works of Greek astronomer Hipparchus and Ptolemy. It also discusses the six trigonometric ratios and their formulas, various trigonometric identities, and applications of trigonometry in fields like architecture, engineering, astronomy, music, optics, and more.

Some applications of trigonometry

Trigonometry studies triangles and relationships between sides and angles. This document discusses using trigonometric ratios to calculate heights and distances, including the angles of elevation and depression. It provides examples of using trigonometry to find the height of a tower from the angle of elevation measured 30 meters away (30 meters high), and the height of a pole from the angle made by a rope tied to its top (10 meters high). It also explains calculating the length of a kite string from the angle of elevation.

Introduction to trigonometry

This document discusses trigonometric ratios and identities. It defines trigonometric ratios as relationships between sides and angles of a right triangle. Specific ratios are defined for angles of 0, 30, 45, 60, and 90 degrees. Complementary angle identities are examined, showing ratios are equal for complementary angles (e.g. sin(90-A)=cos(A)). Trigonometric identities are derived from the Pythagorean theorem, including cos^2(A) + sin^2(A) = 1, sec^2(A) = 1 + tan^2(A), and cot^2(A) + 1 = cosec^2(A). Examples are provided to demonstrate using identities when

Mathematics ppt on trigonometry

Trigonometry is a branch of mathematics that studies relationships involving lengths and angles of triangles. It emerged during the 3rd century BC from applications of geometry to astronomy. Hipparchus is considered the founder of trigonometry, compiling the first trigonometric table in the 2nd century BC. Key trigonometric functions like sine, cosine, and tangent were discovered between the 5th-10th centuries CE by mathematicians including Aryabhata, Muhammad ibn Musa al-Khwarizmi, and Abu al-Wafa. Trigonometry is applied to calculate angles of elevation and depression used in applications like determining the angle an airplane is viewed from the ground.

Trigonometry

This document provides an overview of trigonometry presented by Vijay. It begins by listing the materials needed and encouraging note taking. The presentation then defines trigonometric ratios like sine, cosine and tangent using a right triangle. It also covers trigonometric ratios of specific angles like 45 and 30 degrees as well as complementary angles. The document concludes by explaining several trigonometric identities and providing a short summary of key points.

Trigonometry

The document discusses trigonometry and its uses in navigation, measuring heights and distances, and astronomical studies. It provides examples of trigonometric ratios like sine, cosine, and tangent for common angles. It then explains concepts like line of sight, angle of elevation and depression. It gives two word problems as examples - one calculating the height of a building given the observer's distance and angle of elevation, and another calculating the height a bird is flying given the angle of depression and distance to an object on the ground.

history of trigonometry

Trigonometry is the branch of mathematics concerned with specific functions of angles and their application to calculations. There are six trigonometric functions - sine, cosine, tangent, cotangent, secant, and cosecant. Trigonometry originated in ancient civilizations for practical geometry applications and was further developed by Greek mathematicians like Hipparchus and Ptolemy. Indian and later Islamic mathematicians made important contributions, including the first tables of sines and tangents. Trigonometry was an important tool for astronomy and passed to Europe during the Middle Ages, with major works by Menelaus and Regiomontanus.

Trigonometry

Trigonometry deals with relationships between sides and angles of triangles, especially right triangles. It has many applications in fields like architecture, astronomy, engineering, and more. The document provides background on trigonometry, defines trigonometric functions and ratios, discusses right triangles, and gives several examples of how trigonometry is used in areas like navigation, construction, and digital imaging.

Grade 9 pythagorean theorem

The document discusses the Pythagorean theorem. It defines the terms leg and hypotenuse in a right triangle. The Pythagorean theorem states that the sum of the squares of the legs equals the square of the hypotenuse. The document provides examples of using the Pythagorean theorem to solve for missing lengths in right triangles.

Pythagoras theorem ppt

The document provides an explanation of the Pythagorean theorem using examples of right triangles found in baseball diamonds and ladders. It begins by defining a right triangle and its components - the hypotenuse and two legs. It then states the Pythagorean theorem formula that the sum of the squares of the two legs equals the square of the hypotenuse. Several word problems are worked through step-by-step using the theorem to calculate missing side lengths of right triangles.

Pythagoras theorem

Pythagoras was an ancient Greek philosopher and mathematician born on the island of Samos in around 570 BC. He is best known for the Pythagorean theorem, which states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. While Pythagoras likely did not discover this theorem himself, he is credited as being the first to prove why it is true. The Pythagorean theorem is one of the earliest and most important theorems in mathematics.

Trigonometry presentation

Trigonometry is the study of triangles and their relationships. The document discusses how trigonometry is used in fields like architecture, astronomy, geology, and for measuring distances and heights. It provides examples of how trigonometry can be used to calculate the height of a building given the distance and angle of elevation to its top.

Trigonometry, Applications of Trigonometry CBSE Class X Project

A powerpoint presentation on the topic applications of trigonometry with an introduction to trigonometry.
By Spandan Bhattacharya
Student

Trigonometry

this is a powerpoint about the ch. introduction to trigonometry class 10. it hav the basic info about the ch..

Trigonometry slide presentation

This document provides an overview of trigonometry, including its origins in Greek mathematics, the six main trigonometric functions defined in terms of right triangles, and trigonometric identities. Trigonometry is the study of triangles and relationships between sides and angles, with the six functions—sine, cosine, tangent, cotangent, secant, and cosecant—defined based on ratios of sides. Special angle values and identities are also discussed as important concepts in trigonometry.

Introduction to trigonometry

This document provides an introduction to trigonometry. It defines trigonometry as dealing with relations of sides and angles of triangles. It discusses the history of trigonometry and defines the six trigonometric ratios (sine, cosine, tangent, cosecant, secant, cotangent). It provides the ratios for some specific angles and identities relating the ratios. It describes applications of trigonometry in fields like astronomy, navigation, architecture, and more.

Pythagoras Theorem

Pythagoras theorem states that for any right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. It was invented by the Greek philosopher and mathematician Pythagoras around 582-497 BC and has various applications, including determining if a triangle is right-angled or finding the height of an object using ladder lengths and distances.

Quadrilaterals

This document defines and describes various types of quadrilaterals. It discusses parallelograms, rectangles, squares, rhombi, and trapezoids. For each shape, it provides the definition, properties, formulas for perimeter and area. Key properties of parallelograms are also outlined, such as opposite sides being equal and parallel and diagonals bisecting the shape.

Trigonometric Ratios

The document discusses trigonometric ratios and right triangles. It defines trigonometric ratios like sine, cosine, and tangent using the sides of a right triangle. It also describes two special right triangles - the 30-60-90 triangle and the 45-45-90 triangle - that are used often in trigonometry.

Triangles

This document defines and explains different types of triangles based on their sides and angles. It discusses equilateral, isosceles, scalene, right, obtuse, and acute triangles. It also covers calculating the perimeter, area, altitude, median, angle bisector, and inscribed/circumscribed triangles. Formulas are provided for calculating the altitude, median, angle bisector, and area using different known properties of triangles. Sample problems are included at the end to test understanding.

Cube

This document discusses cubes including their parts, surface area, and volume. It defines a cube as a solid geometry with six equal square faces and eight vertices. The parts of a cube are identified as the six faces, twelve edges, and eight vertices. Formulas are provided to calculate the surface area of a cube as 6s^2 and the volume of a cube as s^3, where s is the length of an edge. Examples are given to practice calculating surface areas and volumes when given the length of an edge or to determine the edge length when given the surface area or volume. Students are assigned homework problems applying these concepts.

Basic trigonometry

This document provides an overview of basic trigonometry. It defines trigonometry as the study of relationships involving lengths and angles of triangles, and notes that it emerged from applications of geometry to astronomy. The document explains the key parts of a right triangle, the trigonometric ratios of sine, cosine and tangent, and the SOHCAHTOA mnemonic. It also covers important angles, Pythagoras' theorem, other trigonometric ratios, the unit circle, and trigonometric functions and identities. Links are provided for additional online resources on trigonometry.

Triangles

Triangles are three-sided polygons that have three angles and three sides. There are three main types of triangles based on side lengths: equilateral (all sides equal), isosceles (two sides equal), and scalene (no sides equal). The interior angles of any triangle always sum to 180 degrees. Important triangle properties include the exterior angle theorem, Pythagorean theorem, and congruency criteria like SSS, SAS, ASA. Common secondary parts are the median, altitude, angle bisector, and perpendicular bisector. The area of triangles can be found using Heron's formula or other formulas based on side lengths and types of triangles.

Mensuration

A MENSURATIO PPT WHICH GIVES EXACT KNOWLEDGE MUST SEE IT
IF YOU WANT ME TO MAKE YOUR OWN SUBJECT PPT CALL ME ON NUMBER
9968821561

Pythagoras Theorem Explained

Pythagoras discovered that the ancient Egyptians used a 3:4:5 right triangle to build the pyramids. He investigated this further and deduced the Pythagorean theorem, which states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Pythagoras proved this by drawing squares on each side of right triangles and showing that the areas added up. The Pythagorean theorem has been used since ancient times in architecture, engineering, and more recently in technology like screens.

Trigonometry

This is a school standard presentation for class 10 students .
It will be very helpful to you all.
Hope you all like this .
And pass your exams with flying colors

Trigonometry maths school ppt

Trigonometry is the branch of mathematics that deals with triangles, especially right triangles. It has been used for over 4000 years, originally to calculate sundials. Key trigonometric functions are the sine, cosine, and tangent, which relate the angles and sides of a right triangle. Trigonometric identities and the trig functions of complementary angles are also discussed. Trigonometry has many applications, including in astronomy, navigation, engineering, optics, and more. It allows curved surfaces to be approximated in architecture using flat panels at angles.

Similarity and Trigonometry (Triangles)

This document discusses three topics related to triangles: the Basic Proportionality Theorem, areas of similar triangles, and trigonometry. It explains the Basic Proportionality Theorem and its proof. It then discusses that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Finally, it defines trigonometry as the measurement of triangles and describes the ratios of the sides of a right triangle and some real-life applications of trigonometry such as periodic functions and architectural design.

trigonometry and applications

This document provides an overview of trigonometry and its applications. It begins with definitions of trigonometry, its history and etymology. It discusses trigonometric functions like sine, cosine and their properties. It covers trigonometric identities and applications in fields like astronomy, navigation, acoustics and more. It also discusses angle measurement in degrees and radians. Laws of sines and cosines are explained. The document concludes with examples of trigonometric equations and their applications.

Trigonometry

Trigonometry deals with relationships between sides and angles of triangles, especially right triangles. It has many applications in fields like architecture, astronomy, engineering, and more. The document provides background on trigonometry, defines trigonometric functions and ratios, discusses right triangles, and gives several examples of how trigonometry is used in areas like navigation, construction, and digital imaging.

Grade 9 pythagorean theorem

The document discusses the Pythagorean theorem. It defines the terms leg and hypotenuse in a right triangle. The Pythagorean theorem states that the sum of the squares of the legs equals the square of the hypotenuse. The document provides examples of using the Pythagorean theorem to solve for missing lengths in right triangles.

Pythagoras theorem ppt

The document provides an explanation of the Pythagorean theorem using examples of right triangles found in baseball diamonds and ladders. It begins by defining a right triangle and its components - the hypotenuse and two legs. It then states the Pythagorean theorem formula that the sum of the squares of the two legs equals the square of the hypotenuse. Several word problems are worked through step-by-step using the theorem to calculate missing side lengths of right triangles.

Pythagoras theorem

Pythagoras was an ancient Greek philosopher and mathematician born on the island of Samos in around 570 BC. He is best known for the Pythagorean theorem, which states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. While Pythagoras likely did not discover this theorem himself, he is credited as being the first to prove why it is true. The Pythagorean theorem is one of the earliest and most important theorems in mathematics.

Trigonometry presentation

Trigonometry is the study of triangles and their relationships. The document discusses how trigonometry is used in fields like architecture, astronomy, geology, and for measuring distances and heights. It provides examples of how trigonometry can be used to calculate the height of a building given the distance and angle of elevation to its top.

Trigonometry, Applications of Trigonometry CBSE Class X Project

A powerpoint presentation on the topic applications of trigonometry with an introduction to trigonometry.
By Spandan Bhattacharya
Student

Trigonometry

this is a powerpoint about the ch. introduction to trigonometry class 10. it hav the basic info about the ch..

Trigonometry slide presentation

This document provides an overview of trigonometry, including its origins in Greek mathematics, the six main trigonometric functions defined in terms of right triangles, and trigonometric identities. Trigonometry is the study of triangles and relationships between sides and angles, with the six functions—sine, cosine, tangent, cotangent, secant, and cosecant—defined based on ratios of sides. Special angle values and identities are also discussed as important concepts in trigonometry.

Introduction to trigonometry

This document provides an introduction to trigonometry. It defines trigonometry as dealing with relations of sides and angles of triangles. It discusses the history of trigonometry and defines the six trigonometric ratios (sine, cosine, tangent, cosecant, secant, cotangent). It provides the ratios for some specific angles and identities relating the ratios. It describes applications of trigonometry in fields like astronomy, navigation, architecture, and more.

Pythagoras Theorem

Pythagoras theorem states that for any right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. It was invented by the Greek philosopher and mathematician Pythagoras around 582-497 BC and has various applications, including determining if a triangle is right-angled or finding the height of an object using ladder lengths and distances.

Quadrilaterals

This document defines and describes various types of quadrilaterals. It discusses parallelograms, rectangles, squares, rhombi, and trapezoids. For each shape, it provides the definition, properties, formulas for perimeter and area. Key properties of parallelograms are also outlined, such as opposite sides being equal and parallel and diagonals bisecting the shape.

Trigonometric Ratios

The document discusses trigonometric ratios and right triangles. It defines trigonometric ratios like sine, cosine, and tangent using the sides of a right triangle. It also describes two special right triangles - the 30-60-90 triangle and the 45-45-90 triangle - that are used often in trigonometry.

Triangles

This document defines and explains different types of triangles based on their sides and angles. It discusses equilateral, isosceles, scalene, right, obtuse, and acute triangles. It also covers calculating the perimeter, area, altitude, median, angle bisector, and inscribed/circumscribed triangles. Formulas are provided for calculating the altitude, median, angle bisector, and area using different known properties of triangles. Sample problems are included at the end to test understanding.

Cube

This document discusses cubes including their parts, surface area, and volume. It defines a cube as a solid geometry with six equal square faces and eight vertices. The parts of a cube are identified as the six faces, twelve edges, and eight vertices. Formulas are provided to calculate the surface area of a cube as 6s^2 and the volume of a cube as s^3, where s is the length of an edge. Examples are given to practice calculating surface areas and volumes when given the length of an edge or to determine the edge length when given the surface area or volume. Students are assigned homework problems applying these concepts.

Basic trigonometry

This document provides an overview of basic trigonometry. It defines trigonometry as the study of relationships involving lengths and angles of triangles, and notes that it emerged from applications of geometry to astronomy. The document explains the key parts of a right triangle, the trigonometric ratios of sine, cosine and tangent, and the SOHCAHTOA mnemonic. It also covers important angles, Pythagoras' theorem, other trigonometric ratios, the unit circle, and trigonometric functions and identities. Links are provided for additional online resources on trigonometry.

Triangles

Triangles are three-sided polygons that have three angles and three sides. There are three main types of triangles based on side lengths: equilateral (all sides equal), isosceles (two sides equal), and scalene (no sides equal). The interior angles of any triangle always sum to 180 degrees. Important triangle properties include the exterior angle theorem, Pythagorean theorem, and congruency criteria like SSS, SAS, ASA. Common secondary parts are the median, altitude, angle bisector, and perpendicular bisector. The area of triangles can be found using Heron's formula or other formulas based on side lengths and types of triangles.

Mensuration

A MENSURATIO PPT WHICH GIVES EXACT KNOWLEDGE MUST SEE IT
IF YOU WANT ME TO MAKE YOUR OWN SUBJECT PPT CALL ME ON NUMBER
9968821561

Pythagoras Theorem Explained

Pythagoras discovered that the ancient Egyptians used a 3:4:5 right triangle to build the pyramids. He investigated this further and deduced the Pythagorean theorem, which states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Pythagoras proved this by drawing squares on each side of right triangles and showing that the areas added up. The Pythagorean theorem has been used since ancient times in architecture, engineering, and more recently in technology like screens.

Trigonometry

This is a school standard presentation for class 10 students .
It will be very helpful to you all.
Hope you all like this .
And pass your exams with flying colors

Trigonometry maths school ppt

Trigonometry is the branch of mathematics that deals with triangles, especially right triangles. It has been used for over 4000 years, originally to calculate sundials. Key trigonometric functions are the sine, cosine, and tangent, which relate the angles and sides of a right triangle. Trigonometric identities and the trig functions of complementary angles are also discussed. Trigonometry has many applications, including in astronomy, navigation, engineering, optics, and more. It allows curved surfaces to be approximated in architecture using flat panels at angles.

Trigonometry

Trigonometry

Grade 9 pythagorean theorem

Grade 9 pythagorean theorem

Pythagoras theorem ppt

Pythagoras theorem ppt

Pythagoras theorem

Pythagoras theorem

Trigonometry presentation

Trigonometry presentation

Trigonometry, Applications of Trigonometry CBSE Class X Project

Trigonometry, Applications of Trigonometry CBSE Class X Project

Trigonometry

Trigonometry

Trigonometry slide presentation

Trigonometry slide presentation

Introduction to trigonometry

Introduction to trigonometry

Pythagoras Theorem

Pythagoras Theorem

Quadrilaterals

Quadrilaterals

Trigonometric Ratios

Trigonometric Ratios

Triangles

Triangles

Cube

Cube

Basic trigonometry

Basic trigonometry

Triangles

Triangles

Mensuration

Mensuration

Pythagoras Theorem Explained

Pythagoras Theorem Explained

Trigonometry

Trigonometry

Trigonometry maths school ppt

Trigonometry maths school ppt

Similarity and Trigonometry (Triangles)

This document discusses three topics related to triangles: the Basic Proportionality Theorem, areas of similar triangles, and trigonometry. It explains the Basic Proportionality Theorem and its proof. It then discusses that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Finally, it defines trigonometry as the measurement of triangles and describes the ratios of the sides of a right triangle and some real-life applications of trigonometry such as periodic functions and architectural design.

trigonometry and applications

This document provides an overview of trigonometry and its applications. It begins with definitions of trigonometry, its history and etymology. It discusses trigonometric functions like sine, cosine and their properties. It covers trigonometric identities and applications in fields like astronomy, navigation, acoustics and more. It also discusses angle measurement in degrees and radians. Laws of sines and cosines are explained. The document concludes with examples of trigonometric equations and their applications.

Applications of TRIGONOMETRY

Trigonometry is used in many fields including astronomy, architecture, navigation, chemistry, meteorology, engineering, carpentry, biology, and forensics. It allows measurement of distances to stars, calculation of angles and forces in building design, navigation on land and sea, modeling molecular structures, tracking weather balloons, structural design, angled cuts in carpentry, determining molecular structures through x-ray crystallography, and analyzing crime scenes. Trigonometric functions like sine, cosine, and tangent are essential mathematical tools across diverse applications in science and technology.

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Hercules stacking banquet chair with vinyl 1.5 inch thick seat silver vein ...

HERCULES Series Banquet Chair is one of the strongest banquet chairs on the market. You can make use of banquet chairs for many kinds of occasions. This banquet chair can be used in Church, Banquet Halls, Wedding Ceremonies, Training Rooms, Conference Meetings, Hotels, Conventions, Schools and any other gathering for practical seating arrangements.

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This mobile computer table can be used in the Home, Office or School. Use in the home in your favorite recliner or over the bed. Table can be used for small presentations. The height adjustable frame allow user to adjust the table to their height preference.

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Number 9 Films is an independent British film company established in 2005 that has produced niche films like How to Lose Friends & Alienate People. The company uses international talent and received funding from the UK Film Council to remain independent. Number 9 Films aims to develop 2-3 films per year across a variety of genres to appeal to niche audiences. Their 2008 film How to Lose Friends & Alienate People, based on a memoir and starring Simon Pegg, had a $28 million budget but only grossed $19.1 million worldwide, resulting in a loss.

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The banquet chair is also great for home usage from small to large gatherings. For any environment that you use a banquet chair it will put your guests at a greater comfort level with the padded seat and back.You can make use of banquet chairs for many kinds of occasions. This banquet chair can be used in Church, Banquet Halls, Wedding Ceremonies, Training Rooms, Conference Meetings, Hotels, Conventions, Schools and any other gathering for practical seating arrangements.Another advantage is the stacking capability that allows you to move the chairs out of the way when not in use. With offerings of comfort and durability, you can be assured that you can enjoy this stacking banquet chair for years to come.

The paper kites

This document analyzes and summarizes a music video for the indie band Canopy Climbers. It discusses the use of narrative elements to tell a love story between a male and female. Scenes alternate between performance shots of the full band playing instruments outdoors and narrative segments that advance the storyline. The video concludes with the couple meeting as the sun sets, conveying a sense of intimacy through their body language and proximity. Overall, the analysis finds the video employs typical conventions of the indie genre through its naturalistic style, outdoor locations, and balance of narrative and performance elements.

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Evaluation question 2

The document discusses the creator's final promotional package for a music video. It summarizes that the package uses consistent imagery, fonts, and color schemes across designs to create a cohesive brand identity and feel. Audience feedback indicated adding a link back to the performer would improve continuity. Maintaining consistent visual themes, filters, and fonts helps ensure all elements maintain the intended house style. Using photos of the performer helps improve the brand image by clearly communicating who the album is from.

Narrative theory

The document discusses Claude Levi-Strauss's theory of using contrasting ideas like good vs evil or young vs old in plots. It provides three examples from the TV show Merlin that illustrate this theory by showing contrasts in power between men and women, social class between Arthur and Merlin, and age as Merlin argues with Gaius despite their difference in age. Overall, the examples show how the show uses contrasts in plots rather than just appearance to develop its story and characters.

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James blunt music video analysis

The video begins with a long shot of an empty room with the performer in the center, establishing the simplicity of the indie/rock genre. Various shots are used throughout - long shots, close ups, and aerial shots - to tell the story and connect with the lyrics about loneliness, loss, and finding freedom. The lighting and minimal props enhance the empty, melancholy feelings. Toward the end, the shots become more positive with bright lighting and wide landscape shots, implying the performer has found happiness again.

Nme contents page

The document summarizes key aspects of the contents page of a music magazine called NME. It discusses that the magazine is published by IPC Media for an audience of 16-24 year olds who are mostly male and working full time. Readers have heavy interest in music and spend over £1300 per year on equipment. The contents page uses both serif and sans serif fonts for a formal yet laid back feel. Black text and rock music references relate to the audience's music tastes. Content is organized into columns for a professional look. Images relate to article headlines for easy navigation in the less text-heavy layout. Articles focus on rock music, festivals, and mainstream artists to appeal to the target age range.

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Similarity and Trigonometry (Triangles)

Similarity and Trigonometry (Triangles)

trigonometry and applications

trigonometry and applications

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Applications of TRIGONOMETRY

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Trigonometrypresentation 140309123918-phpapp02

Trigonometry is the study of triangles and their relationships. It has many applications in fields like architecture, astronomy, geology, and engineering. Architects use trigonometry to calculate angles for building stability. Astronomers use trigonometric concepts like parallax to measure distances between celestial objects. Geologists apply trigonometry to determine true bedding angles and slope stability. Overall, trigonometry is an essential mathematical tool with diverse real-world applications.

Ebook on Elementary Trigonometry by Debdita Pan

Trigonometry is a branch of Mathematics that deals with the distances or heights of objects which can be found using some mathematical techniques. The word ‘trigonometry’ is derived from the Greek words ‘tri’ (meaning three) , ‘gon’ (meaning sides) and ‘metron’ (meaning measure). Historically, it was developed for astronomy and geography, but scientists have been using it for centuries for other purposes, too. Besides other fields of mathematics, trigonometry is used in physics, engineering, and chemistry. Within mathematics, trigonometry is used primarily in calculus (which is perhaps its greatest application), linear algebra, and statistics. Since these fields are used throughout the natural and social sciences, trigonometry is a very useful subject to know

Ebook on Elementary Trigonometry By Debdita Pan

A Short Introduction to Trigonometry. Trigonometry blends a bit of geometry with a lot of common sense. It lets you solve problems that is of common life and experience.

Introduction of trigonometry

Lesson plan on introduction of trigonometry, students must aware about the history , concepts to be done, what common error they commit and what are the scope of this topic in careers

Maths project final draft

1) The document discusses Pythagoras' theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
2) It provides two proofs of the theorem - one using the areas of four rotated triangles to form a square, and one using the areas of triangles in a trapezoid.
3) Applications of the theorem discussed include determining earthquake locations and calculating projectile trajectories like bullets or arrows.

MATHEMATICS VERY IMPORTANT PORTFOLIO PPT.pptx

The document provides instructions for a 10th grade mathematics portfolio assignment. Students are asked to create a portfolio containing: a mind map on trigonometry, derivations of trigonometric values for 300, 450, and 600, and applications of trigonometry in daily life. The portfolio must be neatly written and include a creative cover page with the student's name, class, and section. Applications of trigonometry discussed include uses in sound engineering, measuring heights, video games, construction, flight engineering, physics, archaeology, criminology, marine biology, marine engineering, navigation, oceanography, calculus, roofing, and satellite systems.

Look up! Look Down!

This document provides a strategic intervention material to help students learn about solving real-life problems involving right triangles using trigonometric ratios. It begins with definitions of key terms like line of sight, angle of elevation, and angle of depression. Students are given examples of problems involving these angles and their solutions. Later activities require students to illustrate problem situations, identify given information, formulas used, and solve problems determining unknown angles or distances. The material aims to supplement classroom learning and help students independently practice and understand solving right triangle problems.

Trigonometry

Trigonometry deals with relationships between sides and angles of triangles, especially right triangles. It has been studied since ancient civilizations over 4000 years ago and is used in many fields today including architecture, astronomy, engineering, and more. Trigonometric functions relate ratios of sides in a right triangle to the angles of the triangle. These functions and their relationships are important tools that allow calculations and problem solving across various domains.

Applications of trignometry

Trigonometry is a branch of mathematics used to define relationships between sides and angles of triangles, especially right triangles. It has applications in fields like architecture, astronomy, geology, navigation, and oceanography. Trigonometric functions like sine, cosine, and tangent are ratios that relate sides and angles, and trigonometry allows distances, heights, and depths to be easily calculated. Architects use trigonometry to design buildings, astronomers use it to measure distances to stars, and geologists use it to determine slope stability.

Application of Trigonometry in Data Science and AI

In this ppt we basically gives application of Trigonometry in data science and Artificial intelligence

Look up! v3.1

This is the improved version of my Strategic Intervention Material about Angles of elevation and angles of depression. PDF form.

Trigonometry!!.pptx

You can use this ppt for your school project :) This is a good ppt to be used as a template too.
You can use it to make your notes also. That's a very good ppt. Please prefer it to your friends also :)

Grade 9 Mathematics Module 6 Similarity

This document provides information about a mathematics module on similarity for grade 9 learners. It was collaboratively developed by educators from various educational institutions in the Philippines. The module aims to teach learners about proportions, similarity of polygons, conditions for similarity of triangles using various theorems, applying similarity to solve real-world problems involving proportions and similarity. It includes a module map, pre-assessment questions to gauge learners' prior knowledge, and covers topics like proportions, similarity of polygons and triangles, and applying similarity concepts to solve problems.

C) TRIGONOMETRY 1 .pptx

This document provides information about trigonometry, including its origins and applications. It discusses how trigonometry originated from Greek study of triangles, with terms like sine, cosine, and tangent being derived from Greek and Latin roots related to triangles and circles. It also outlines some real-world applications of trigonometry, such as navigation, construction, and calculating tides. Finally, it discusses topics within trigonometry like the unit circle and trigonometric functions and graphs.

Soh cah toa surveying how things work (2)

This document provides an overview of trigonometry and how it is used in surveying. It discusses the types of triangles, similar triangles, and trigonometric functions such as sine, cosine, and tangent. It then explains how surveyors use trigonometry and triangulation to measure distances and lengths, even over large areas, by measuring angles and building triangles between points. The document also discusses hands-on activities for students to measure heights of objects using hypsometers and applying trigonometric functions to solve for unknown heights or distances.

trignometry

The document introduces trigonometry and its use in determining distances and heights without direct measurement. It explains that trigonometry is the study of relationships between sides and angles of triangles, and was first recorded and used by early Egyptians and Babylonians to calculate distances to stars and planets. The chapter will discuss trigonometric ratios that relate the sides of a right triangle to its acute angles.

trigonometrypresentation-140309123918-phpapp02.pptx

Trigonometry is the branch of mathematics that deals with relationships between sides and angles of triangles. It is used to calculate distances and heights that cannot be directly measured, like the height of a building. The key trigonometric functions are sine, cosine, and tangent, which relate angles to sides in a right triangle. Trigonometry has many applications in fields like astronomy, physics, engineering, and more.

Grade 9 Mathematics Module 7 Triangle Trigonometry

This document provides an introduction and overview of Module 7: Triangle Trigonometry which covers using trigonometric ratios to solve problems involving right triangles and oblique triangles. The module is divided into 5 lessons that cover the six trigonometric ratios, ratios of special angles, angles of elevation and depression, application word problems involving right triangles, and the laws of sines and cosines for solving problems with oblique triangles. A pre-assessment with 19 multiple choice questions is also provided to gauge students' prior knowledge on triangle trigonometry concepts before beginning the lessons.

Trigonometry Exploration

By: Aawesh Bhadra Karn & Prabesh Kafle
Kanjirowa National H. S. School, Balkumari, Kathmandu , Nepal

Grade 9 Mathematics Module 5 Quadrilaterals (LM)

This document provides information about Module 5 on quadrilaterals, including:
1) An introduction focusing on identifying quadrilaterals that are parallelograms and determining the conditions for a quadrilateral to be a parallelogram.
2) A module map outlining the key topics to be covered, including parallelograms, rectangles, trapezoids, kites, and solving real-life problems.
3) A pre-assessment to gauge the learner's existing knowledge of quadrilaterals through multiple choice and short answer questions.

Trigonometrypresentation 140309123918-phpapp02

Trigonometrypresentation 140309123918-phpapp02

Ebook on Elementary Trigonometry by Debdita Pan

Ebook on Elementary Trigonometry by Debdita Pan

Ebook on Elementary Trigonometry By Debdita Pan

Ebook on Elementary Trigonometry By Debdita Pan

Introduction of trigonometry

Introduction of trigonometry

Maths project final draft

Maths project final draft

MATHEMATICS VERY IMPORTANT PORTFOLIO PPT.pptx

MATHEMATICS VERY IMPORTANT PORTFOLIO PPT.pptx

Look up! Look Down!

Look up! Look Down!

Trigonometry

Trigonometry

Applications of trignometry

Applications of trignometry

Application of Trigonometry in Data Science and AI

Application of Trigonometry in Data Science and AI

Look up! v3.1

Look up! v3.1

Trigonometry!!.pptx

Trigonometry!!.pptx

Grade 9 Mathematics Module 6 Similarity

Grade 9 Mathematics Module 6 Similarity

C) TRIGONOMETRY 1 .pptx

C) TRIGONOMETRY 1 .pptx

Soh cah toa surveying how things work (2)

Soh cah toa surveying how things work (2)

trignometry

trignometry

trigonometrypresentation-140309123918-phpapp02.pptx

trigonometrypresentation-140309123918-phpapp02.pptx

Grade 9 Mathematics Module 7 Triangle Trigonometry

Grade 9 Mathematics Module 7 Triangle Trigonometry

Trigonometry Exploration

Trigonometry Exploration

Grade 9 Mathematics Module 5 Quadrilaterals (LM)

Grade 9 Mathematics Module 5 Quadrilaterals (LM)

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Prepare a presentation or a paper using research, basic comparative analysis, data organization and application of economic information. You will make an informed assessment of an economic climate outside of the United States to accomplish an entertainment industry objective.

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The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202

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What is the purpose of studying mathematics.pptx

What is the purpose of studying mathematics.pptx

- 1. 1
- 2. This project has been made with the aim of providing basic understanding on the subject – MATHEMATICS , in order to cover a part of NCERT syllabus as prescribed by CBSE. This presentation is titled as - TRIGONOMETRY. Sincere efforts have been made to make the presentation a unique experience to the viewer. Stress has been laid on the appearance, neatness and quality of the presentation. No effort has been spared to make the reading and understanding of the presentation complete and interesting. I have tried to do my best and hope that the project of mine would be appreciated by all. One fine day I was relaxing on the beach where I saw a light house. I started wondering, what the height of the light house would be? I asked my mathematics teacher for suggestions and she taught me about the concept of trigonometry in finding the heights and distances of distant objects without actually measuring it. This provoked me to gather more information on this topic and to make a beautiful presentation on it. Supervised by – ******* Created by – ******** 2
- 3. One cannot succeed alone no matter how great one’s abilities are, without the cooperation of others. This project, too, is a result of efforts of many. I would like to thank all those who helped me in making this project a success. I would like to express my deep sense of gratitude to my Maths Teacher, Mrs. ******* who was taking keen interest in our lab activities and discussed various methods which could be employed towards this effect, and I really appreciate and acknowledge her pain taking efforts in this endeavour. Supervised by – ******* Created by – ******* 3
- 4. 4
- 5. Introduction to Trigonometry Right Triangle Trigonometry 5
- 6. Q: What is trigonometry? A: Trigonometry is the study of how the sides and angles of a triangle are related to each other. Q: WHAT? That's all? A: Yes, that's all. It's all about triangles, and you can't get much simpler than that. Q: You mean trigonometry isn't some big, ugly monster that makes students turn green, scream, and die? 6 A: No. It's just triangles.
- 7. Some historians say that trigonometry was invented by Hipparchus, a Greek mathematician. He also introduced the division of a circle into 360 degrees into Greece. Hipparchus is considered the greatest astronomical observer, and by some the greatest astronomer of antiquity. He was the first Greek to develop quantitative and accurate models for the motion of the Sun and Moon. With his solar and lunar theories and his numerical trigonometry, he was probably the first to develop a reliable method to predict solar eclipses. 7
- 8. Trigonometry is a branch of Mathematics that deals with the distances or heights of objects which can be found using some mathematical techniques. The word ‘trigonometry’ is derived from the Greek words ‘tri’ (meaning three) , ‘gon’ (meaning sides) and ‘metron’ (meaning measure). Historically, it was developed for astronomy and geography, but scientists have been using it for centuries for other purposes, too. Besides other fields of mathematics, trigonometry is used in physics, engineering, and chemistry. Within mathematics, trigonometry is used primarily in calculus (which is perhaps its greatest application), linear algebra, and statistics. Since these fields are used throughout the natural and social sciences, trigonometry is a very useful subject to know. 8
- 9. C PERPENDICULAR (P) B Sin / Cosec Cos / Sec Tan / Cot P (pandit) B (badri) P (prasad) H (har) H (har) A BASE (B) B (bole) This is pretty easy! 9
- 10. A 0 30 45 60 90 Sin A 0 1 Cos A 1 0 Tan A 0 Cosec A Not Defined Sec A Not Defined Not Defined 2 1 1 Cot A 1 2 1 Not Defined 0 10
- 11. Sin2 + Cos2 =1 • 1 – Cos2 = Sin2 • 1 – Sin2 = Cos2 Tan2 + 1 = Sec2 • Sec2 • Sec2 - Tan2 = 1 - 1 = Tan2 Cot2 + 1 = Cosec2 • Cosec2 • Cosec2 - Cot2 = 1 - 1 = Cot2 11
- 12. Measuring inaccessible lengths ◦ Height of a building (tree, tower, etc.) ◦ Width of a river (canyon, etc.) 12
- 13. Angle of Elevation – It is the angle formed by the line of sight with the horizontal when it is above the horizontal level, i.e., the case when we raise our head to look at the object. A ANGLE OF ELEVATION HORIZONTAL LEVEL 13
- 14. Angle of Depression – It is the angle formed by the line of sight with the horizontal when it is below the horizontal level, i.e., the case when we lower our head to look at the object. HORIZONTAL LEVEL A ANGLE OF DEPRESSION 14
- 15. Example 1 of 4 Application: Height To establish the height of a building, a person walks 120 ft away from the building. At that point an angle of elevation of 32 is formed when looking at the top of the building. h=? 32 120 ft H = 74.98 ft 15
- 16. Example 2 of 4 Application: Height 68 An observer on top of a hill measures an angle of depression of 68 when looking at a truck parked in the valley below. If the truck is 55 ft from the base of the hill, how high is the hill? h=? 55 ft H = 136.1 ft 16
- 17. 17
- 18. Example 3 of 4 ? 37 70 ft D = 52.7 ft 18
- 19. Example 4 of 4 Road has a grade of 5.5%. ◦ Convert this to an angle expressed in degrees. 5.5 ft ? 100 ft A = 3.1 19
- 20. It is an instrument which is used to measure the height of distant objects using trigonometric concepts. Here, the height of the tree using T. concepts, h = tan *(x) h=? HORIZONTAL LEVEL ‘x’ units 20
- 21. Trigonometry begins in the right triangle, but it doesn’t have to be restricted to triangles. The trigonometric functions carry the ideas of triangle trigonometry into a broader world of real-valued functions and wave forms. Trig functions are the relationships amongst various sides in right triangles. The enormous number of applications of trigonometry include astronomy, geography, optics, electronics, probability theory, statistics, biology, medical imaging (CAT scans and ultrasound), pharmacy, seismology, land surveying, architecture. I get it! 21
- 22. THANK YOU ! Name : ******** 22