Verify the identity by converting the left side into sines and cosines. (Simplify at each step.)

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 by converting the left side into sines and cosines. (Simplify at each step.)

Verify the identity by converting the left side into sines and cosines. (Simplify at each step.)
5 sec(x) – 5 cos(x) = 5 sin(x) tan(x)
5
5 sec(x) – 5 cos(x) =
5 cos(x)
-
cos(x)
5(1 -
-
cos(x)
sin(x)
cos(x)
= 5 sin(x) tan(x)
||
Transcribed Image Text:Verify the identity by converting the left side into sines and cosines. (Simplify at each step.) 5 sec(x) – 5 cos(x) = 5 sin(x) tan(x) 5 5 sec(x) – 5 cos(x) = 5 cos(x) - cos(x) 5(1 - - cos(x) sin(x) cos(x) = 5 sin(x) tan(x) ||
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