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Trigonometry is a branch of mathematics that studies triangles and the relationships between sides and angles. It uses trigonometric ratios to calculate heights, distances, and other measurements that cannot be directly observed. The angle of elevation is formed between an observer's line of sight and the horizontal when looking up at an object. The angle of depression is formed when an observer looks down, between the line of sight and the horizontal. Both can be used with trigonometric functions to determine unknown measurements.
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Some applications on Trigonometry
This document discusses trigonometry and how it can be used to calculate heights and distances. It defines angle of elevation and depression, and provides examples of using trigonometric ratios to calculate the height of a tower, pole, and kite string based on observed angles of elevation or depression. Sample problems are worked through showing the application of trigonometric functions like tangent and sine to find unknown lengths.
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This document discusses trigonometry and introduces Hipparchus of Bithynia as the Greek mathematician who systematized trigonometry. It defines the trigonometric functions of sine, cosine, and tangent using the mnemonic SOH-CAH-TOA. It also defines angle of elevation and angle of depression and provides examples of calculating trigonometric functions in right triangles. Finally, it gives an assignment involving using trigonometric functions to find the height of a hot air balloon.
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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.
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Hello everyone...There are many teachers in the schools which gives students to make a powerpoint presentation on Maths topic...most of students get confused that what to make...so now no need to worry about...you can download it!
Thank You
นำเสนอตรีโกณมิติจริง
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Trigonometry is a branch of mathematics that studies relationships between sides and angles of triangles. It emerged from Greek astronomy studies in the 3rd century BC. Classical Greek mathematicians proved theorems equivalent to modern trigonometric formulas, though presented geometrically rather than algebraically. Indian mathematicians in the 4th-5th century defined trig functions like sine and cosine. Trigonometry has many applications including triangulation used in astronomy, geography, and navigation. Examples are also given of using trig ratios to solve problems involving angles of elevation and depression to find distances.
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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.
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Hello everyone...There are many teachers in the schools which gives students to make a powerpoint presentation on Maths topic...most of students get confused that what to make...so now no need to worry about...you can download it!
Thank You
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.
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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.
Maths project some applications of trignometry- class10 ppt
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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.
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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.
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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
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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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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.
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Trigonometry, Applications of Trigonometry CBSE Class X Project
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{ Real no , trigonometry area perimeter )maths project
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The document discusses triangles and their properties. It defines a triangle as a three-sided polygon and describes the three types of triangles based on their sides: equilateral, isosceles, and scalene. It then covers triangle properties such as the angle sum theorem, exterior angle theorem, and Pythagorean theorem. The document also discusses secondary parts of triangles like medians, altitudes, angle bisectors, and perpendicular bisectors. It concludes with criteria for triangle congruency and formulas for calculating triangle area.
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Trigonometry is the study of relationships between sides and angles of triangles. The word trigonometry comes from the Greek words "tri" meaning three, "gon" meaning sides, and "metron" meaning measure. Trigonometry specifically examines the relationships between angles and the sides opposite, adjacent, and hypotenuse of a right triangle.
Learning network activity 3
Trigonometry is a branch of mathematics that deals with relationships between the sides and angles of triangles, especially right triangles. It has many applications in fields like astronomy, navigation, engineering, and more. Some key uses of trigonometry include measuring inaccessible heights and distances by using trigonometric functions and properties of triangles formed by angles of elevation or depression. For example, trigonometry can be used to calculate the height of a building or tree by measuring the angle of elevation from a known distance away. It also has applications in measuring distances in astronomy, designing curved architectural structures, and calculating road grades. The document provides examples of various real-world applications of trigonometric concepts.
Trigonometry
This document discusses trigonometry and its applications. It begins by defining trigonometry as the branch of mathematics dealing with relationships between sides and angles of triangles, especially right triangles. It then describes the basic trigonometric functions of sine, cosine, and tangent. The document outlines several applications of trigonometry, including using it to calculate heights and distances, in architecture, astronomy, geology, navigation, oceanography, and for modeling waves like sound.
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Maths ppt 2016 .fb
- 2. WHAT IS TRIGNOMETRY?Trigonometry is a branch of mathematics that studies triangles and the relationships between their sides and the angles between these sides.
- 3. In this topic we shall make use of Trignometric Ratios to find the height of a tree,a tower,a water tank,width of a river,distance of ship from lighthouse etc.
- 6. ANGLE OF ELEVATIONThe angle which the line of sight makes with a horizontal line drawn away from their eyes is called the angle of Elevation of aeroplane from them.
- 8. ANGEL OF DEPRESSION If the pilot of the aeroplane looks downwards at any object on the ground then the Angle between his line of sight and horizontal line drawn away from his eyes is called Angel of Depression