Verify the identity. (Simplify at each step.) 8 sec x(sec x tan x) - 8 sec4 x(sec x tan x) = 8 sec5 x tan³ x 8 sec5 x(sec x tan x) − 8 sec¹ x(sec x tan x) 8 sec4 x(sec x tan x) = = 8 sec5 x tan³ X (sec x tan x)(tan² 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 21E
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Verify the identity. (Simplify at each step.)
8 sec6 x(sec x tan x) - 8 sec4 x(sec x tan x) = 8 sec5 x tan³ x
8 sec x(sec x tan x) - 8 sec4 x(sec x tan x)
= 8 sec4 x(sec x tan x)(
= 8 sec5 x tan³ x
(sec x tan x)(tan² x)
Transcribed Image Text:Verify the identity. (Simplify at each step.) 8 sec6 x(sec x tan x) - 8 sec4 x(sec x tan x) = 8 sec5 x tan³ x 8 sec x(sec x tan x) - 8 sec4 x(sec x tan x) = 8 sec4 x(sec x tan x)( = 8 sec5 x tan³ x (sec x tan x)(tan² x)
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