![]() As you gain more practice, you can skip or combine these steps when you recognize other identities. It is rather tedious, and can take more time than necessary. The following seven step process will work every time. Solving trig identities takes practice! Quotient Identities: tan(x) = sin(x)/cos(x) cot(x) = cos(x)/sin(x) Reciprocal Identities: csc(x) = 1/sin(x) sec(x) = 1/cos(x) cot(x) = 1/tan(x) sin(x) = 1/csc(x) cos(x) = 1/sec(x) tan(x) = 1/cot(x) Pythagorean Identities: sin2(x) + cos2(x) = 1 cot2A +1 = csc2A 1+tan2A = sec2A (For a list of other important identities, see the Trig Cheat Sheet article in this series.) How to Solve Trig Identities The following identities are essential to all your work with trig functions. ![]() ![]() ![]() The more basic formulas you have memorized, the faster you will be. The trick to solve trig identities is intuition, which can only be gained through experience. ![]()
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