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Understanding Trigonometry: Origins, Functions, and Real-World Applications

Explore the origins, functions, and applications of trigonometry. Discover how triangles and circles are interconnected, and delve into the practical uses in various fields. Uncover the history and key concepts of this advanced mathematical discipline.

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Understanding Trigonometry: Origins, Functions, and Real-World Applications

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  1. Advanced math/trig By: Chelsie Pinckney

  2. What is Trigonometry • Study of how sides and angles of a triangle are related to each other

  3. When/where did trigonometry originate • It came from the ancient Egyptian and Babylonian • It was kind of a mathematic way to work with triangles

  4. 3 most used trig functions and their ratios • Sine: a/h (opposite over hypotenuse) • Cosine: b/h (adjacent over hypotenuse) • Tangent: a/b (opposite over adjacent) • Cotangent, secant, and cosecant are three other functions

  5. Three other functions • Cotangent, secant, and cosecant • All of the functions require being set up as a ratio • Cosine, cotangent, and cosecant use horizontal lines • Secant, sine, and tangent use vertical lines • I have seen sine tangent and cosine on the calculator we use in class.

  6. Real-world applications that involve trig • Building bridges and determining the force of a beam • Whether your ladder is long enough to clean out a gutter • Creating a map (cartography) • Digital imaging

  7. Unit Circle • A circle with a radius of one • Demonstrates that sine and cosine are periodic functions • Yes circles and triangles

  8. Discovery of Trigonometry • BartholemaeusPitiscus • August 24, 1561 – July 2, 1613 • Studied theology in Zerbst and Heidelberg

  9. Interesting Website • www.mathisfun.com/algebra/trigonometry.html

  10. My Information Came From: • "Introduction to Trigonometry." Trigonometry. N.p., n.d. Web. 04 Sept. 2012. <http://www.mathisfun.com/algebra/trigonometry.html>. • "What Is Trigonometry?" What Is Trigonometry?N.p., n.d. Web. 04 Sept. 2012. <http://www.cut-the-knot.org/WhatIs/WhatIsTrigonometry.shtml>.

  11. Project Idea!!! • Football players use trigonometry when tackling a player • I could go to a football game or practice and figure out the best tackling angles. • http://www.ehow.com/list 5939810 high-school-trigonometry-project-ideas.html

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