MAT 110 Study Guide - Quiz Guide: Precalculus, Trigonometric Functions, Inverse Trigonometric Functions
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Provide a generalization to each of the key terms listed in this section. 1. 3 tan (2 ) tan (2 ) = 3 half angle formulas [for tan (cid:16) . Inverse sine function y = sin 1 (x) x = sin (y) 2 y = sin 1 (x) , 1 x 1, . 4. 2 properties of inverse sine functions f 1 (f (x)) = sin 1 (sin (x)) = x. 2 f (cid:0)f 1 (x)(cid:1) = sin(cid:0)sin 1 (x)(cid:1) = x. Inverse cosine function y = cos 1 (x) x = cos (y) 0 y y = cos 1 (x) , 1 x 1, 0 y . 4. 4 properties of inverse cosine functions f 1 (f (x)) = cos 1 (cos (x)) = x. 0 x f (cid:0)f 1 (x)(cid:1) = cos(cid:0)cos 1 (x)(cid:1) = x. Inverse tangent function y = cos 1 (x) x = cos (y) 2 y = cos 1 (x) , < x < , .
