MATH 2007 Lecture 10: trig identities

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Trigonometric identities: reciprocal identities, power-reducing/half angle for- sin u = tan u = csc u = 1 sin u cos u = cot u = sec u = 1 cos u: pythagorean identities sin2 u + cos2 u = 1. 1 + cot2 u = sec2 u = csc2 u u: quotient identities mulas sin2 u = cos2 u = tan2 u = 1 + cos(2u: sum-to-product formulas sin u + sin v = 2 sin(cid:18) u + v. 2 (cid:19) tan u = sin u cos u cot u = cos u sin u sin u sin v = 2 cos(cid:18) u + v. U) = tan u cos u + cos v = 2 cos(cid:18) u + v. 2 (cid:19) cos u cos v = 2 sin(cid:18) u + v. 1 tan u tan v: double angle formulas sin u sin v = cos u cos v = sin u cos v = cos u sin v =

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