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Trigonometry

Trigonometry. Caleb Trent. What is trigonometry?. Trigonometry started as the computational component for geometry. It includes methods and functions for computing the sides and angles of triangles. When and where did trig start?. Trigonometry began with the Babylonians and the Egyptians.

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Trigonometry

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  1. Trigonometry Caleb Trent

  2. What is trigonometry? • Trigonometry started as the computational component for geometry. • It includes methods and functions for computing the sides and angles of triangles.

  3. When and where did trig start? • Trigonometry began with the Babylonians and the Egyptians. • The Greeks turned trig into what it is today.

  4. Who discovered trig? • Trigonometry apparently began with Hipparchus of Nicaea (180 – 125 B.C.E.). • Hipparchus made many advances in astronomy. • He is also credited with writing the first table of chords. • He wrote 12 books about chords in a circle, which was the first known work of trigonometry.

  5. How can trig be used in the real world? • Astronomy – to calculate the distance between stars • Architecture – to find the height and angle of buildings, and to figure out how much labor is needed • Sound engineering – to develop computer music • Aviation – pilots need to know the angle for taking off and landing

  6. Trig Functions • The 3 most used functions are Sine, Cosine, and Tangent. • The other 3 functions are Cosecant, Secant, and Cotangent. • All of these functions are related because they are all one side of the triangle divided by the other. • These functions are all individual buttons on calculators.

  7. The unit circle • The unit circle is a circle that has a radius of 1. • It is used in trigonometry to directly measure sine, cosine, and tangent. • Circles and triangles are related because triangles can be measured inside circles.

  8. Interesting website • http://www.mathsisfun.com/algebra/trigonometry.html • it has some neat interactive graphs and it explains things very well

  9. Art with trig project • Use at least 6 trigonometric functions over a certain domain to create symmetry. • Use graphing calculator to figure out how the function graphs interlace. • Graph the symmetrical functions on oversized paper, and color certain domains and ranges different colors.

  10. Works Cited • "History of Trigonometry Outline." History of Trigonometry Outline. N.p., n.d. Web. 01 Sept. 2012. <http://aleph0.clarku.edu/~djoyce/ma105/trighist.html>. • "Introduction to Trigonometry." Trigonometry. N.p., n.d. Web. 01 Sept. 2012. <http://www.mathsisfun.com/algebra/trigonometry.html>. • Manda, Gilbert. "What Are Real Life Applications in Trigonometry?" EHow. Demand Media, 10 Jan. 2011. Web. 01 Sept. 2012. <http://www.ehow.com/list_7769833_real-life-applications-trigonometry.html>.

  11. Works Cited • Nelson, Rich. "Math Projects Based On Trigonometry." Ehow.com. N.p., n.d. Web. 2 Sept. 2012. <http://www.ehow.com/info_8379455_math-projects-based-trigonometry.html>. • "Unit Circle." Unit Circle. N.p., n.d. Web. 02 Sept. 2012. <http://www.mathsisfun.com/geometry/unit-circle.html>. • "What Is Trigonometry." What Is Trigonometry. N.p., n.d. Web. 01 Sept. 2012. <http://www.clarku.edu/~djoyce/trig/what.html>.

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