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Trigonometric Identities & Formulas Tutorial Services Mission del Paso Campus Reciprocal Identities Ratio or Quotient Identities 1 1 sin x cos x sin x csc x tan x cot x . csc x sin x cos x sin x 1 1. cos x sec x sinx = cosx tanx cosx = sinx cotx sec x cos x 1 1. tan x cot x . cot x tan x Pythagorean Identities Pythagorean Identities in Radical Form sin x cos x 1. 2 2. sin x 1 cos2 x 1 tan 2 x sec2 x 1 cot 2 x csc2 x tan x sec 2 x 1. Note: there are only three, basic Pythagorean identities, the other forms cos x 1 sin 2 x are the same three identities, just arranged in a different order. Confunction Identities Odd-Even Identities Also called negative angle identities . sin x cos x cos x sin x Sin (-x) = -sin x Csc (-x) = -csc x 2 2 . Cos (-x) = cos x Sec (-x) = sec x.

Saved C: Trigonometry Formulas {Web Page} microsoftword & PDF Website: www.mathgraphs.com 3 The Unit Circle 90° Tan = - 3 cot 3 3 tan = undefined & cot= 0 tan = 3 cot = 3 3 120° 60°

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