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 Trigonometry started as the computational component for geometry.  It includes methods and functions for computing the sides and angles of triangles.

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Presentation on theme: " Trigonometry started as the computational component for geometry.  It includes methods and functions for computing the sides and angles of triangles."— Presentation transcript:

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2  Trigonometry started as the computational component for geometry.  It includes methods and functions for computing the sides and angles of triangles.

3  Trigonometry began with the Babylonians and the Egyptians.  The Greeks turned trig into what it is today.

4  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  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  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 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  http://www.mathsisfun.com/algebra/trig onometry.html http://www.mathsisfun.com/algebra/trig onometry.html › it has some neat interactive graphs and it explains things very well

9  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  "History of Trigonometry Outline." History of Trigonometry Outline. N.p., n.d. Web. 01 Sept. 2012..  "Introduction to Trigonometry." Trigonometry. N.p., n.d. Web. 01 Sept. 2012..  Manda, Gilbert. "What Are Real Life Applications in Trigonometry?" EHow. Demand Media, 10 Jan. 2011. Web. 01 Sept. 2012..

11  Nelson, Rich. "Math Projects Based On Trigonometry." Ehow.com. N.p., n.d. Web. 2 Sept. 2012..  "Unit Circle." Unit Circle. N.p., n.d. Web. 02 Sept. 2012..  "What Is Trigonometry." What Is Trigonometry. N.p., n.d. Web. 01 Sept. 2012..


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