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By Whitney Traynham.  Trigonometry is a mathematical study of triangles.

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Presentation on theme: "By Whitney Traynham.  Trigonometry is a mathematical study of triangles."— Presentation transcript:

1 By Whitney Traynham

2  Trigonometry is a mathematical study of triangles

3  History shows that people as early as Ancient Egyptians used Trigonometry, but the study was built upon and molded over hundreds of years.

4  Though no one person is responsible for the study of Trigonometry, Hipparchus of Nicea, is known as the father of trigonometry.  He was a Greek man living during 190 & 120 B.C.  He is known as the Father of Trigonometry be cause “He developed trigonometry and constructed trigonometric tables, and he solved several problems of spherical trigonometry. "Hipparchus." Wikipedia. Wikimedia Foundation, 31 Aug. 2012. Web. 04 Sept. 2012. http://en.wikipedia.org/wiki/Hipparchushttp://en.wikipedia.org/wiki/Hipparchus

5  Trigonometry can be used to find elevation. For example is you wanted to know how high above sea level you were, you could use a trigonometric formula.  Similarly trigonometry can be used to find the height of buildings or mountains. "FASCINATING FACTS OF MATHEMATICS." : Applications of Trigonometry in Real Life. N.p., n.d. Web. 04 Sept. 2012. http://malini- math.blogspot.com/2011/08/applications-of-trigonometry-in- real.htmlhttp://malini- math.blogspot.com/2011/08/applications-of-trigonometry-in- real.html

6  Trigonometry is used in architecture, such as in a music hall, because the sound wave travel in angles certain designs create better sound production. Thibodeaux, Wanda. "How Is Trigonometry Used in Music?" EHow. Demand Media, 30 Apr. 2009. Web. 04 Sept. 2012. http://www.ehow.com/how-does_4969029_how- trigonometry-used-music.html http://www.ehow.com/how-does_4969029_how- trigonometry-used-music.html

7  Trigonometry is used in digital imaging to create vivid, lifelike images. "FASCINATING FACTS OF MATHEMATICS." : Applications of Trigonometry in Real Life. N.p., n.d. Web. 04 Sept. 2012. http://malini- math.blogspot.com/2011/08/applications-of-trigonometry-in- real.htmlhttp://malini- math.blogspot.com/2011/08/applications-of-trigonometry-in- real.html

8 opp/hyp adj/hyp opp/adj Sine Cosine Tangent

9 cotangent hyp/opp hyp/adj adj/opp cosecant secant

10  The first slide of ratios shows the normal used of the functions, while the second slide shows the reciprocals of the regular functions. Stapel, Elizabeth. "Basic Trigonometric Ratios." Purplemath. Available from http://www.purplemath.com/modules/basirati.htm  The regular functions are also used in geometry.

11 http://www.purplemath.com/modules/basirati.htm  I think this website would be a great study tool. http://www.ehow.com/info_8674543_ideas-trig- projects.html  This website may provide simple ideas for projects we could do in class.

12  A unit circle has a radius of one.  The unit circle is used in trigonometry with this formula “The unit circle equation is x² + y² = 1” Stapel, Elizabeth. "The Unit Circle." Purplemath. Available from http://www.purplemath.com/modules/unitcirc.htm

13  Circles and triangles have the same tangent which relates them.


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