Verify the identity by converting the left side into sines and cosines. (Simplify at each step.) cot(x) =tan(x) = sec(x)(csc(x) - 2 sin(x)) cos(x) _ _sin(x) sin(x) cos(x) cos²(x) — sin²(x) cot(x) - tan(x) = = 11 = = sin(x) cos(x) − (sin²(x) + sin²(x)) cos(x) 1 - 2 sin²(x) 1 cos(x) X 1 - 2 sin²(x) 2 sin²(x) 1 1 cos(x) sin(x) sec(x) (csc(x) — 2 sin(x)) X
Verify the identity by converting the left side into sines and cosines. (Simplify at each step.) cot(x) =tan(x) = sec(x)(csc(x) - 2 sin(x)) cos(x) _ _sin(x) sin(x) cos(x) cos²(x) — sin²(x) cot(x) - tan(x) = = 11 = = sin(x) cos(x) − (sin²(x) + sin²(x)) cos(x) 1 - 2 sin²(x) 1 cos(x) X 1 - 2 sin²(x) 2 sin²(x) 1 1 cos(x) sin(x) sec(x) (csc(x) — 2 sin(x)) X
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 24E
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