Verify the identity. 9-9 tan x = 9(1 – tan² x) sec² x First factor the numerator, then use the Pythagorean identity for sec² x. Finally simplify by dividing out the common factors. (Simplify completely at each step.) 9-9 tan4 x 9(1tan4 x) sec² x sec² x 9(1 + sec² x |)(₁ sec² x (₁ 1 - tan² x) 1 - tan² x)
Verify the identity. 9-9 tan x = 9(1 – tan² x) sec² x First factor the numerator, then use the Pythagorean identity for sec² x. Finally simplify by dividing out the common factors. (Simplify completely at each step.) 9-9 tan4 x 9(1tan4 x) sec² x sec² x 9(1 + sec² x |)(₁ sec² x (₁ 1 - tan² x) 1 - tan² x)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.1: Verifying Trigonometric Identities
Problem 65E
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Verify the identity.
First factor the numerator, then use the Pythagorean identity for
sec2 x.
Finally simplify by dividing out the common factors. (Simplify completely at each step.)Expert Solution
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