an (x)-1_tan (x-cot(x) 2 2. sec2 tan xcotx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section: Chapter Questions
Problem 22RE
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Thanks much.

an (x)-1_tan (x-cot(x)
2
2.
sec2
tan xcotx
Transcribed Image Text:an (x)-1_tan (x-cot(x) 2 2. sec2 tan xcotx
Expert Solution
Step 1
tan2 r-
tan x cotx
Consider the given trigonometric equation as
sec2 x
tanxcot x
2.
tan x1
and simplify as follows
Consider the left hand expression
sec x
tan2 x-
LHS
secx
2
sinx
-1
COS x
1
cos2 x
sin2 x-cos2 x cos2 x
1
-cos x
sin2
х
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