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
icon
Related questions
Question

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.)
Verify the identity.
9 - 9 tan4 x
sec² x
= 9(1 - tan² 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(1 - tan4 x)
sec² x
sec² x
(1 +
|)(₁.
sec² x
sec² x
(1 - tan² x)
) (₁ 1 - tan² x)
Transcribed Image Text:Verify the identity. 9 - 9 tan4 x sec² x = 9(1 - tan² 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(1 - tan4 x) sec² x sec² x (1 + |)(₁. sec² x sec² x (1 - tan² x) ) (₁ 1 - tan² x)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage