Math Genius - Trigonometric Pythagorean Idenities lyrics

Derived from sine and cosine values of points on the unit circle, there are various Pythagorean Identities that can be used for an easier time computing an*lytic trigonometry. The first Pythagorean identity is sin^2u + cos^2u = 1. The proof for this identity is relatively simple. Either of the next two identities can be solved from this equation using the reciprocal identities of sine and cosine. The other two identities are: 1 + tan^2u = sec^2u, and 1 + cot^2u = csc^2u. Using these identities make life a lot easier when solving trigonometric equations; try the example below: cos^4u - sin^4u = 1