Verify the identity. 5-5 tan4 x sec² x - = 5(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.) 5 - 5 tan4 x 5(1 - tan4 x) = sec² x = sec² x 5(1 + Need Help? Master It |)(1 - tan² x) sec² x )(1 - tan² x) sec² 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
Question
Verify the identity.
5-5 tan4 x
sec² x
-
= 5(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.)
5 - 5 tan4 x
5(1 - tan4 x)
=
sec² x
=
sec² x
5(1 +
Need Help?
Master It
|)(1 - tan² x)
sec² x
)(1 - tan² x)
sec² x
Transcribed Image Text:Verify the identity. 5-5 tan4 x sec² x - = 5(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.) 5 - 5 tan4 x 5(1 - tan4 x) = sec² x = sec² x 5(1 + Need Help? Master It |)(1 - tan² x) sec² x )(1 - tan² x) sec² x
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

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