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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.

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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.

Maths project some applications of trignometry- class10 ppt

The document provides an introduction to trigonometry and its applications. It discusses how trigonometry deals with triangles, particularly right triangles, and involves angles and relationships between sides. The document then gives examples of using basic trigonometric ratios like sine, cosine, and tangent to solve problems involving unknown heights or distances. It provides historical context on how trigonometry was used in ancient times for applications like determining the height of structures. Overall, the document outlines fundamental trigonometric concepts and illustrates how trigonometry can be applied to calculate unknown measurements.

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 project

Trigonometry is the branch of mathematics dealing with triangles and trigonometric functions of angles. It is derived from Greek words meaning "three angles" and "measure". Trigonometry specifically studies relationships between sides and angles of triangles, and calculations based on trigonometric functions like sine, cosine, and tangent. Trigonometry has many applications in fields like astronomy, navigation, architecture, engineering, and more.

Trigonometry Presentation For Class 10 Students

Presentation on Trigonometry. A topic for class 10 Students. Has every topic covered for students wanting to make a presentation on Trigonometry. Hope this will help you...........

Ppt on trignometry by damini

This project on trigonometry was designed by two 10th grade students to introduce various topics in trigonometry. It includes sections on the introduction and definition of trigonometry, trigonometric ratios and their names in a right triangle, examples of applying ratios to find unknown sides, reciprocal identities of ratios, types of problems involving calculating ratios and evaluating expressions, value tables for common angles, formulas relating ratios, and main trigonometric identities. The project was created under the guidance of the students' mathematics teacher.

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

PPT ON TRIANGLES FOR CLASS X

1. The document discusses properties and congruence of triangles. It defines congruence as two triangles being the same shape and size with corresponding angles and sides equal.
2. There are five criteria for congruence: side-angle-side, angle-side-angle, angle-angle-side, side-side-side, and right angle-hypotenuse-side.
3. Additional properties discussed include isosceles triangles having equal angles opposite equal sides, and relationships between sides and opposite angles/angles and opposite sides in all triangles.

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.

Maths project some applications of trignometry- class10 ppt

The document provides an introduction to trigonometry and its applications. It discusses how trigonometry deals with triangles, particularly right triangles, and involves angles and relationships between sides. The document then gives examples of using basic trigonometric ratios like sine, cosine, and tangent to solve problems involving unknown heights or distances. It provides historical context on how trigonometry was used in ancient times for applications like determining the height of structures. Overall, the document outlines fundamental trigonometric concepts and illustrates how trigonometry can be applied to calculate unknown measurements.

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 project

Trigonometry is the branch of mathematics dealing with triangles and trigonometric functions of angles. It is derived from Greek words meaning "three angles" and "measure". Trigonometry specifically studies relationships between sides and angles of triangles, and calculations based on trigonometric functions like sine, cosine, and tangent. Trigonometry has many applications in fields like astronomy, navigation, architecture, engineering, and more.

Trigonometry Presentation For Class 10 Students

Presentation on Trigonometry. A topic for class 10 Students. Has every topic covered for students wanting to make a presentation on Trigonometry. Hope this will help you...........

Ppt on trignometry by damini

This project on trigonometry was designed by two 10th grade students to introduce various topics in trigonometry. It includes sections on the introduction and definition of trigonometry, trigonometric ratios and their names in a right triangle, examples of applying ratios to find unknown sides, reciprocal identities of ratios, types of problems involving calculating ratios and evaluating expressions, value tables for common angles, formulas relating ratios, and main trigonometric identities. The project was created under the guidance of the students' mathematics teacher.

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

PPT ON TRIANGLES FOR CLASS X

1. The document discusses properties and congruence of triangles. It defines congruence as two triangles being the same shape and size with corresponding angles and sides equal.
2. There are five criteria for congruence: side-angle-side, angle-side-angle, angle-angle-side, side-side-side, and right angle-hypotenuse-side.
3. Additional properties discussed include isosceles triangles having equal angles opposite equal sides, and relationships between sides and opposite angles/angles and opposite sides in all triangles.

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.

Maths ppt on some applications of trignometry

This document discusses trigonometry and how it can be used to calculate heights and distances. It defines trigonometric ratios and the angles of elevation and depression. It then provides examples of using trigonometry to calculate the height of a tower given the angle of elevation is 30 degrees and the distance from the observer is 30 meters. It also gives an example of calculating the height of a pole using the angle made by the rope and the ground.

Introduction to trignometry

INTRODUCTION TO TRIGNOMETRY OF CLASS 10. IT ALSO INCLUDES ALL TOPIC OF TRIGNOMETRY OF CLASS 10 WITH PHOTOS AND DERIVATIOM

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.

ppt on Triangles Class 9

1. The document defines triangles and their properties including three sides, three angles, and three vertices.
2. It explains five criteria for determining if two triangles are congruent: side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS), side-side-side (SSS), and right-angle-hypotenuse-side (RHS).
3. Some properties of triangles discussed are: angles opposite equal sides are equal, sides opposite equal angles are equal, and the sum of any two sides is greater than the third side.

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

Trigonometry

Trigonometry deals with triangles and the angles between sides. The main trigonometric ratios are defined using the sides of a right triangle: sine, cosine, and tangent. Trigonometric functions can convert between degrees and radians. Standard angle positions and trigonometric identities relate trig functions of summed and subtracted angles. The sine and cosine rules relate the sides and angles of any triangle, allowing for calculations of missing sides or angles given other information. Unit circle graphs further illustrate trigonometric functions.

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.

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.

PPT on Trigonometric Functions. Class 11

Trigonometry deals with relationships between sides and angles of triangles. It originated in ancient Greece and was used to calculate sundials. Key concepts include trigonometric functions like sine, cosine and tangent that relate a triangle's angles to its sides. Trigonometric identities and angle formulae allow for the conversion between functions. It has wide applications in fields like astronomy, engineering and navigation.

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.

CLASS IX MATHS PPT

The document discusses different types of 2D and 3D shapes. It defines rectangles, squares, triangles, and hexagons as plane or 2D figures. Cuboids, cubes, and cylinders are defined as solid or 3D figures. Solid figures are made up of plane surfaces or figures. The surface area of solids is calculated by finding the total area of these plane figures. Formulas are provided to calculate the surface area of cuboids and cubes. Practice questions are included for students to calculate surface areas of shapes based on given measurements.

Height and distances

Trigonometry is used to calculate unknown heights, distances, and angles using relationships between sides and angles of triangles. It was developed by ancient Greek mathematicians like Thales and Hipparchus to solve problems in astronomy and geography. Some key applications include using trigonometric ratios like tangent and cotangent along with known distances and angles of elevation/depression to determine the height of objects like towers, buildings, and mountains when direct measurement is not possible. The document provides historical context and examples to illustrate how trigonometric concepts have been applied to problems involving finding heights, distances, and other unknown measurements through the use of triangles and their properties.

Trigonometry

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

Math project some applications of trigonometry

Trigonometry deals with relationships between sides and angles of triangles. It has many applications including calculating heights and distances that are otherwise difficult to measure directly. For example, Thales of Miletus used trigonometry to calculate the height of the Great Pyramid in Egypt by comparing the lengths of shadows at different times of day. Later, Hipparchus constructed trigonometric tables and used trigonometry and angular measurements to determine the distance to the moon. Today, trigonometry is widely used in fields like surveying, navigation, physics, and engineering.

Applications of trigonometry

Trigonometry was invented by ancient Greeks to calculate distances and angles in astronomy. It relates the angles and lengths of triangles, allowing unknown values to be determined if one angle and one length are known. Some early applications included creating trigonometric tables for astronomical computations and using triangulation to measure heights and distances. Modern uses include navigation, surveying, engineering, acoustics, and technologies like GPS which rely on trigonometric calculations.

Triangles and its properties

The document defines and describes different types of triangles based on their sides and angles. It discusses scalene, isosceles, equilateral, acute-angled, right-angled, and obtuse-angled triangles. It also outlines some key properties of triangles, including that they have three sides and three angles, medians connect vertices to midpoints of opposite sides, altitudes are perpendicular from vertices to opposite sides, exterior angles equal the sum of interior opposite angles, and isosceles triangles have equal angles opposite equal sides. The Pythagorean theorem is also summarized.

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.

Trigonometry abhi

Has everything needed for a CBSE Student to make up a project on Trigonometry. I hope this helps you all...
Topics:-
Intro, Information, Formulas, Summary and overview

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.

IBM AppScan Standard - The Web Application Security Solution

- Web Application Security risks
- What is IBM AppScan Standard?
- Features
- Scenarios
- Workflow
- Screen short and DEMO

Static Application Security Testing Strategies for Automation and Continuous ...

Static Application Security Testing (SAST) introduces challenges with existing Software Development Lifecycle Configurations. Strategies at different points of the SDLC improve deployment time, while still improving the quality and security of the deliverable. This session will discuss the different strategies that can be implemented for SAST within SDLC—strategies catering to developers versus security analysts versus release engineers. The strategies consider the challenges each team may encounter, allowing them to incorporate security testing without jeopardizing deadlines or existing process.

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.

Maths ppt on some applications of trignometry

This document discusses trigonometry and how it can be used to calculate heights and distances. It defines trigonometric ratios and the angles of elevation and depression. It then provides examples of using trigonometry to calculate the height of a tower given the angle of elevation is 30 degrees and the distance from the observer is 30 meters. It also gives an example of calculating the height of a pole using the angle made by the rope and the ground.

Introduction to trignometry

INTRODUCTION TO TRIGNOMETRY OF CLASS 10. IT ALSO INCLUDES ALL TOPIC OF TRIGNOMETRY OF CLASS 10 WITH PHOTOS AND DERIVATIOM

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.

ppt on Triangles Class 9

1. The document defines triangles and their properties including three sides, three angles, and three vertices.
2. It explains five criteria for determining if two triangles are congruent: side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS), side-side-side (SSS), and right-angle-hypotenuse-side (RHS).
3. Some properties of triangles discussed are: angles opposite equal sides are equal, sides opposite equal angles are equal, and the sum of any two sides is greater than the third side.

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

Trigonometry

Trigonometry deals with triangles and the angles between sides. The main trigonometric ratios are defined using the sides of a right triangle: sine, cosine, and tangent. Trigonometric functions can convert between degrees and radians. Standard angle positions and trigonometric identities relate trig functions of summed and subtracted angles. The sine and cosine rules relate the sides and angles of any triangle, allowing for calculations of missing sides or angles given other information. Unit circle graphs further illustrate trigonometric functions.

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.

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.

PPT on Trigonometric Functions. Class 11

Trigonometry deals with relationships between sides and angles of triangles. It originated in ancient Greece and was used to calculate sundials. Key concepts include trigonometric functions like sine, cosine and tangent that relate a triangle's angles to its sides. Trigonometric identities and angle formulae allow for the conversion between functions. It has wide applications in fields like astronomy, engineering and navigation.

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.

CLASS IX MATHS PPT

The document discusses different types of 2D and 3D shapes. It defines rectangles, squares, triangles, and hexagons as plane or 2D figures. Cuboids, cubes, and cylinders are defined as solid or 3D figures. Solid figures are made up of plane surfaces or figures. The surface area of solids is calculated by finding the total area of these plane figures. Formulas are provided to calculate the surface area of cuboids and cubes. Practice questions are included for students to calculate surface areas of shapes based on given measurements.

Height and distances

Trigonometry is used to calculate unknown heights, distances, and angles using relationships between sides and angles of triangles. It was developed by ancient Greek mathematicians like Thales and Hipparchus to solve problems in astronomy and geography. Some key applications include using trigonometric ratios like tangent and cotangent along with known distances and angles of elevation/depression to determine the height of objects like towers, buildings, and mountains when direct measurement is not possible. The document provides historical context and examples to illustrate how trigonometric concepts have been applied to problems involving finding heights, distances, and other unknown measurements through the use of triangles and their properties.

Trigonometry

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

Math project some applications of trigonometry

Trigonometry deals with relationships between sides and angles of triangles. It has many applications including calculating heights and distances that are otherwise difficult to measure directly. For example, Thales of Miletus used trigonometry to calculate the height of the Great Pyramid in Egypt by comparing the lengths of shadows at different times of day. Later, Hipparchus constructed trigonometric tables and used trigonometry and angular measurements to determine the distance to the moon. Today, trigonometry is widely used in fields like surveying, navigation, physics, and engineering.

Applications of trigonometry

Trigonometry was invented by ancient Greeks to calculate distances and angles in astronomy. It relates the angles and lengths of triangles, allowing unknown values to be determined if one angle and one length are known. Some early applications included creating trigonometric tables for astronomical computations and using triangulation to measure heights and distances. Modern uses include navigation, surveying, engineering, acoustics, and technologies like GPS which rely on trigonometric calculations.

Triangles and its properties

The document defines and describes different types of triangles based on their sides and angles. It discusses scalene, isosceles, equilateral, acute-angled, right-angled, and obtuse-angled triangles. It also outlines some key properties of triangles, including that they have three sides and three angles, medians connect vertices to midpoints of opposite sides, altitudes are perpendicular from vertices to opposite sides, exterior angles equal the sum of interior opposite angles, and isosceles triangles have equal angles opposite equal sides. The Pythagorean theorem is also summarized.

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.

Trigonometry abhi

Has everything needed for a CBSE Student to make up a project on Trigonometry. I hope this helps you all...
Topics:-
Intro, Information, Formulas, Summary and overview

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.

Trigonometry

Trigonometry

Maths ppt on some applications of trignometry

Maths ppt on some applications of trignometry

Introduction to trignometry

Introduction to trignometry

Trigonometry

Trigonometry

ppt on Triangles Class 9

ppt on Triangles Class 9

Introduction of trigonometry

Introduction of trigonometry

Trigonometry

Trigonometry

trigonometry and application

trigonometry and application

Applications of trignometry

Applications of trignometry

PPT on Trigonometric Functions. Class 11

PPT on Trigonometric Functions. Class 11

Some applications of trigonometry

Some applications of trigonometry

CLASS IX MATHS PPT

CLASS IX MATHS PPT

Height and distances

Height and distances

Trigonometry

Trigonometry

Math project some applications of trigonometry

Math project some applications of trigonometry

Applications of trigonometry

Applications of trigonometry

Triangles and its properties

Triangles and its properties

Introduction to trigonometry

Introduction to trigonometry

Trigonometry abhi

Trigonometry abhi

Basic trigonometry

Basic trigonometry

IBM AppScan Standard - The Web Application Security Solution

- Web Application Security risks
- What is IBM AppScan Standard?
- Features
- Scenarios
- Workflow
- Screen short and DEMO

Static Application Security Testing Strategies for Automation and Continuous ...

Static Application Security Testing (SAST) introduces challenges with existing Software Development Lifecycle Configurations. Strategies at different points of the SDLC improve deployment time, while still improving the quality and security of the deliverable. This session will discuss the different strategies that can be implemented for SAST within SDLC—strategies catering to developers versus security analysts versus release engineers. The strategies consider the challenges each team may encounter, allowing them to incorporate security testing without jeopardizing deadlines or existing process.

Some application of trignometry

Trigonometry deals with right triangles and angles, and is used in fields like sound, light, and perceptions of beauty. The document defines common trigonometric terms like angle of elevation, angle of depression, sine, cosine, and tangent. It provides examples of using trigonometric functions to solve problems like finding the height of a tower or flagpole given angle of elevation measurements. Several practice problems on trigonometry are also presented and solved.

Mobile Application Security Testing (Static Code Analysis) of Android App

This document discusses three angles for performing mobile application security testing: client side checks, dynamic/runtime checks of local storage, databases and more, and static code analysis. It focuses on static code analysis, explaining that it covers over 50% of the OWASP Mobile Top 10 risks. It provides details on fetching APKs, converting them to source code, manual and automated static code analysis tools like MobSF and QARK, and common issues like improper use of Android intents that can be discovered through static analysis.

Focus Group Presentation

1) Focus groups are a method of gathering qualitative data through group discussions rather than individual interviews.
2) They provide insights into participants' attitudes, opinions, and perceptions on a topic through discussions with other participants.
3) Moderators must create a relaxed environment to get participants to openly share their views while also keeping discussions focused and on topic.

Trigonometry Lesson: Introduction & Basics

This trigonometry lesson introduces important trigonometry topics including the Pythagorean theorem, special right triangles, trigonometric functions, the law of cosines and sines, identities, and half and double angle formulas. Key concepts are the measurement of triangles, trigonometric ratios related to sides of right triangles, and trigonometric functions defined in relation to angles. Examples are provided to demonstrate applying the Pythagorean theorem and laws of cosines and sines to solve for unknown sides of triangles.

Focus groups - An introduction

1. A focus group is a form of qualitative research where a small group of people discuss their perceptions, opinions, beliefs and attitudes towards a topic.
2. The purposes of focus groups are to explore experiences, generate hypotheses, and reveal group dynamics.
3. Techniques used in focus groups include direct questioning, projective techniques, subgrouping, and confronting participants with stimuli.

Focus Group Discussion (Fgd)

Focus group discussions are a type of qualitative research where a small group of people are asked questions in an interactive group setting about their perceptions, opinions, beliefs and attitudes towards a product, service, concept, advertisement or idea. They typically involve 8-12 participants and last 1-2 hours. Focus groups are used to explore complex behaviors and motivations, find consensus on topics, and gain insights in a friendly manner. They provide real-life data in a social environment quickly and cost-effectively, but require skilled facilitation and data is more difficult to analyze than quantitative data. Proper planning and facilitation is important to get useful results and deal with potential issues that may arise.

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.

PowerPoint on Narrative

I created this PowerPoint based upon an article by Steven Figg, 'Understanding Narrative Writing: Practical Strategies to Support Teachers'. I have used it with a group of Year 7 students to help them revise Narrative for their Naplan testing.

Pixar's 22 Rules to Phenomenal Storytelling

The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive function. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms for those who already suffer from conditions like anxiety and depression.

IBM AppScan Standard - The Web Application Security Solution

IBM AppScan Standard - The Web Application Security Solution

Static Application Security Testing Strategies for Automation and Continuous ...

Static Application Security Testing Strategies for Automation and Continuous ...

Some application of trignometry

Some application of trignometry

Mobile Application Security Testing (Static Code Analysis) of Android App

Mobile Application Security Testing (Static Code Analysis) of Android App

Focus Group Presentation

Focus Group Presentation

Trigonometry Lesson: Introduction & Basics

Trigonometry Lesson: Introduction & Basics

Focus groups - An introduction

Focus groups - An introduction

Focus Group Discussion (Fgd)

Focus Group Discussion (Fgd)

Trigonometry presentation

Trigonometry presentation

PowerPoint on Narrative

PowerPoint on Narrative

Pixar's 22 Rules to Phenomenal Storytelling

Pixar's 22 Rules to Phenomenal Storytelling

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.

maths project.pptx

This document provides information about trigonometry presented by a 10th grade class. It defines trigonometry as the study of relationships involving lengths and angles of triangles. It then discusses the history of trigonometry, highlighting important Greek and Indian mathematicians. The document also outlines key trigonometry formulas, functions, and how trigonometry is applied in fields like architecture and aviation. It concludes with mental math tricks for trigonometry.

History of trigonometry2

Trigonometry developed from studying right triangles in ancient Egypt and Babylon, with early work done by Hipparchus and Ptolemy. It was further advanced by Indian, Islamic, and Chinese mathematicians. Key developments include Madhava's sine table, al-Khwarizmi's sine and cosine tables, and Shen Kuo and Guo Shoujing's work in spherical trigonometry. European mathematicians like Regiomontanus, Rheticus, and Euler established trigonometry as a distinct field and defined functions analytically. Trigonometry is now used in many areas beyond triangle calculations.

Hari love sachin

The document provides a history of trigonometry, beginning with its origins in ancient Egypt and Babylonia, where early concepts like similar triangles were studied. It then discusses the systematic study of trigonometry beginning in Hellenistic Greece, with Hipparchus compiling the first trigonometric table in the 2nd century BCE. Trigonometry was further developed in Indian and Islamic mathematics before becoming a formal subject in the Renaissance. Key trigonometric functions and identities are also defined.

Hari love sachin

The document provides an overview of the history and development of trigonometry. It discusses how trigonometry originated in ancient Greece and Mesopotamia for applications in astronomy and was further developed by Greek mathematicians such as Hipparchus. Key concepts in trigonometry like trig functions, trig identities, and trig ratios are also explained.

Trigonometry Exploration

The document discusses trigonometry and provides definitions and examples of its uses. It defines trigonometry as the branch of mathematics dealing with relationships involving lengths and angles of triangles. It then gives examples of how trigonometry is used in fields like navigation, architecture, engineering, and game development. It also provides information on trigonometric functions like sine waves and their importance in fields like physics and signal processing.

trigno.pptx

Trigonometry studies relationships involving lengths and angles of triangles. It emerged from applications of geometry to astronomy during the 3rd century BC. Basic trigonometric identities include tan x sin x + cos x = sec x and cos^2 20+cos^2 70/sin^2 31+sin^2 59+sin^2 64+cos64.sin26 = 2. Applications involve the line of sight from an observer's eye to an airplane overhead, defining the angle of elevation, and the pilot's downward line of sight, defining the angle of depression.

TRIGONOMETRY

Trigonometry is a branch of mathematics that studies relationships involving lengths and angles of triangles. It emerged from applications of geometry to astronomy in ancient Greece. The word trigonometry comes from Greek words meaning "three", "sides", and "measure". Trigonometry defines ratios between the sides and angles of right triangles, and establishes trigonometric identities that are true for all angle values. These identities relate trigonometric functions of complementary angles and derive important equations like the Pythagorean identity.

Trigonometry

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles in triangles. The key concepts are the trigonometric functions sine, cosine, and tangent, which describe ratios of sides of a right triangle. Trigonometry has applications in fields like navigation, music, engineering, and more. It has evolved significantly from its origins in ancient Greece and India, with modern definitions extending it to all real and complex number arguments.

Trigonometry

Trigonometry is the branch of mathematics that deals with relationships between sides and angles of triangles, especially right triangles. It has its origins in ancient civilizations over 4000 years ago and was originally used to calculate sundials. Key concepts in trigonometry include the six trigonometric functions (sine, cosine, tangent, cosecant, secant, and cotangent) that relate ratios of sides and angles in triangles. Trigonometric functions have many applications in fields like astronomy, navigation, engineering, and more.

pi

Pi is the ratio of a circle's circumference to its diameter. Ancient Egyptian and Babylonian mathematicians approximated pi as fractions like 256/81 and 25/8. Later, Indian, Greek, and Chinese mathematicians calculated more accurate approximations, with Archimedes proving pi is between 3 1/7 and 3 10/71. Over centuries, mathematicians have computed pi to increasing decimal places of accuracy using new calculation methods. Pi is now known to at least one trillion decimal places and has many uses in mathematics, science, and engineering.

Introduction to trigonometry

this is a slide share on introduction of trigonometry this slide share includes every single information about the lesson trigonometry and this is best for class 10

Three dimensional space dfs-new

This document discusses three-dimensional space and geometry. It begins by defining dimension and explaining that a point in 3D space is defined by three coordinates: x, y, and z. Different coordinate systems for 3D space are presented, including Cartesian and cylindrical/spherical coordinates. Common 3D shapes are described such as polyhedrons, prisms, cylinders, cones, and spheres. Higher dimensions beyond 3D are briefly touched on. The document also discusses visualizing 3D space through graphs of functions with multiple variables.

coordinate geometry.pptx

Coordinate geometry describes the position of points on a plane using an ordered pair of numbers in a Cartesian coordinate system. French mathematician René Descartes developed this system in the 1600s. The system uses two perpendicular axes, the x-axis and y-axis, that intersect at the origin point (0,0). Values to the right of the origin on the x-axis and above the origin on the y-axis are positive, while values to the left and below are negative. Together the axes divide the plane into four quadrants. The document provides examples of finding the abscissa (x-coordinate) and ordinate (y-coordinate) of points, as well as answering questions to test understanding of coordinate geometry concepts.

Maths powerpoint

This document provides an overview of trigonometry including its history, applications, basic concepts, and trigonometric tables. It discusses how trigonometry originated from Babylonian, Greek, Indian and Arabic mathematics and astronomy. It explains that trigonometry is commonly used to calculate heights, distances, and positions in navigation, engineering, and astronomy. The basic concepts covered are the definitions of the sine, cosine, and tangent functions for right triangles, Pythagorean theorem, and trigonometric identities. Trigonometric tables are also mentioned.

Trignometry

This document provides an overview of trigonometry including its history, applications, basic concepts, and trigonometric tables. It discusses how trigonometry originated from Babylonian, Greek, Indian and Arabic mathematics and astronomy. It explains that trigonometry is commonly used to calculate heights, distances, and positions in navigation, engineering, and astronomy. The basic concepts covered are the definitions of the sine, cosine, and tangent functions for right triangles, Pythagorean theorem, and trigonometric identities. Trigonometric tables are also mentioned.

Heights & distances

Trigonometry deals with calculating distances and heights using mathematical techniques. It originated in ancient Greece and Egypt for purposes like astronomy and geography. Hipparchus is considered one of the founders of trigonometry for developing quantitative models of celestial motions. Trigonometry is now widely used in fields like calculus, physics, engineering, and more. It allows calculating inaccessible lengths like heights and widths using angles of elevation, depression, and trigonometric functions like sine, cosine, and tangent.

History of pi

Pi has been approximated for over 4000 years through various methods by ancient cultures. Archimedes was the first to calculate pi by using polygons to find the area between the inscribed and circumscribed shapes, determining pi was between 3 1/7 and 3 10/71. Zu Chongzhi, a 5th century Chinese mathematician, calculated pi to 355/113 through lengthy calculations using a 24,576-gon polygon. The Greek symbol π began being used in the 1700s and was popularized by Euler in 1737.

Egyptian mathematics

This document provides an overview of ancient Egyptian mathematics and its timeline. It discusses the Egyptian numeral system, which was additive, as well as their arithmetic operations of addition, multiplication and division. The Egyptians were able to solve linear equations and used arithmetic and geometric progressions. They could also express fractions as a sum of unit fractions. Overall, the document demonstrates the Egyptians had sophisticated mathematical knowledge and methods as early as 3000 BC.

นำเสนอตรีโกณมิติจริง

Trigonometry deals with relationships between sides and angles of triangles, especially right triangles. It has been used for thousands of years in fields like astronomy, navigation, architecture, engineering, and more modern fields like digital imaging and computer graphics. Trigonometric functions define ratios between sides of a right triangle and are used to solve for unknown sides and angles. Common applications include calculating distances, heights, satellite positioning, and modeling waves and vibrations.

trigonometry and applications

trigonometry and applications

maths project.pptx

maths project.pptx

History of trigonometry2

History of trigonometry2

Hari love sachin

Hari love sachin

Hari love sachin

Hari love sachin

Trigonometry Exploration

Trigonometry Exploration

trigno.pptx

trigno.pptx

TRIGONOMETRY

TRIGONOMETRY

Trigonometry

Trigonometry

Trigonometry

Trigonometry

pi

pi

Introduction to trigonometry

Introduction to trigonometry

Three dimensional space dfs-new

Three dimensional space dfs-new

coordinate geometry.pptx

coordinate geometry.pptx

Maths powerpoint

Maths powerpoint

Trignometry

Trignometry

Heights & distances

Heights & distances

History of pi

History of pi

Egyptian mathematics

Egyptian mathematics

นำเสนอตรีโกณมิติจริง

นำเสนอตรีโกณมิติจริง

writing about opinions about Australia the movie

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You will hear from Liz Willett, the Head of Nonprofits, and hear about what Walmart is doing to help nonprofits, including Walmart Business and Spark Good. Walmart Business+ is a new offer for nonprofits that offers discounts and also streamlines nonprofits order and expense tracking, saving time and money.
The webinar may also give some examples on how nonprofits can best leverage Walmart Business+.
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Walmart Business + (https://business.walmart.com/plus) is a new shopping experience for nonprofits, schools, and local business customers that connects an exclusive online shopping experience to stores. Benefits include free delivery and shipping, a 'Spend Analytics” feature, special discounts, deals and tax-exempt shopping.
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𝐄𝐱𝐩𝐥𝐚𝐢𝐧 𝐭𝐡𝐞 𝐍𝐚𝐭𝐮𝐫𝐞 𝐚𝐧𝐝 𝐒𝐜𝐨𝐩𝐞 𝐨𝐟 𝐚𝐧 𝐄𝐧𝐭𝐫𝐞𝐩𝐫𝐞𝐧𝐞𝐮𝐫:
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writing about opinions about Australia the movie

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- 3. NIKHIL V. NAIR DISHA MADAAN ISHA MEHRA RIDHIMA ARORA ZUBIN MALOTHRA AKSHIT JAIN UMANG MISHRA
- 4. Trigonometry (from Greek trigōnon, "triangle" and metron, "measure") is a branch of mathematics that studies relationships involving lengths and angles of triangles. The field emerged during the 3rd century BC from applications of geometry to astronomical studies.
- 5. It is the Greek astronomer and mathematician HipparcHus of Nicaea in Bithynia (190 BCE - 120 BCE) that is often considered as the founder of the science of trigonometry. According to the Greek scholar THeon of alexandria (335 CE – 405 CE), Hipparchus compiled a “table of chords” in a circle (a trigonometric table) in 12 books. Regarding the six trigonometric functions: aryabHaTa (476 CE - 550 CE) discovered the sine and cosine; MuHaMMad ibn Musa al-KHwariziMi (780 CE - 850 CE) discovered the tangent; abu al-wafa’ buzjani (940 CE - 988 CE) discovered the secant, cotangent, and cosecant. alberT Girard (1595-1632), a French mathematician, was the first to use the abbreviations sin, cos, and tan in a treatise.
- 11. Q) tan x sin x + cos x = sec x Solution: We will only use the fact that sin² x + cos² x = 1 for all values of x. LHS = tan x sin x + cos x =>sin x/cos x. sin x +cosx = >sin² x/ cos x + cos x =>sin² x/ cos x + cos²x /cosx => sin² x + cos² x/ cos x = >1/ cos x = RHS
- 13. Q) Cos² 20+cos² 70/sin² 31+sin² 59+sin² 64+cos64.sin26 Solution:- cos² 20+sin² (90-70)/sin² 31+sin² (90- 59)+sin² 64+cos64.cos64 => 1+sin² 64+cos² 64 =>1+1 =>2
- 15. We observe generally that children usually look up to see an airplane when it passes overhead. This line joining their eye to the plane while looking up is called LINE OF SIGhT.
- 16. The angle which the line of sight makes with a horizontal line drawn away from their eyes is called the angle of elevation of airplane from them.
- 17. If the pilot of the airplane looks downward at any object on the ground then the angle between his line of sight and horizontal line drawn away from his eyes is called angle of depression.
- 20. NIKHIL V. NAIR DISHA MADAAN ISHA MEHRA RIDHIMA ARORA AKSHIT JAIN ZUBIN MALOTHRA UMANG MISHRA