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TRIG PROJECT

This resource provides an in-depth look at trigonometric functions, including explanations of key concepts such as Pythagorean identities and reciprocal identities. Notable contributions from historical figures like Bartholomeo Pitiscus, who authored "Trigonometria," are discussed, alongside modern applications in satellite navigation systems where precise distances are calculated using trigonometry. Additionally, the relationship between sine and cosine functions is explored, along with interactive resources that engage users in the application of trigonometry, such as using trigonometry to analyze Ferris wheels and cranes.

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TRIG PROJECT

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  1. TRIG PROJECT Scott Taulbee

  2. Trigonometric Functions • http://www.sosmath.com/trig/Trig2/trig2/trig2.html • This website presents the different trig functions and also explains the Pythagorean identities as well as the reciprocal identities. • Examples:

  3. BartholomeoPitiscus • http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Pitiscus.html • The word trigonometry came from his book entitled “Trigonometria.” • In his book he described main definitions and theorems of plane and spherical trigonometry. • “Trigonometria” was only the first of the five books he published.

  4. Trig in the WORLD?? • http://www.mathscareers.org.uk/14_-_16/maths_in_everyday_life/trigonometry.cfm • Satellite navigation systems use trigonometry. • Trig is used because they need to know the precise distances between two points. • They use triangles with the corresponding angles and sides to find the distances. They also use variables a, b, and c when solving the equations.

  5. Sinusoidal Functions • http://www-ferp.ucsd.edu/najmabadi/CLASS/ECE60L/03-S/NOTES/math-2-sine.pdf • A sinusoidal function is made of a linear combination of Cosine and Sine functions. • Most Sine Functions begin at zero and Cosine begin at one.

  6. Interested in More Trig?? • http://www.ies.co.jp/math/products/trig/menu.html • This includes pictures, interactive motion pictures, and formulas. • Examples: They show how trig is involved in a ferris wheel and a crane which was very interesting to us.

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