Show that the following statement is an identity by transforming the left side into the right side. csc e cot e sec e We begin by writing the left side in terms of sin 8 and cos 8. We can then simplify the compound fraction, and rewrite in terms of sec 8. 1/sin e csc e cot e (cos 8)/ sin 8 cos e = sec e csc e cot e Because we have succeeded in transforming the left side into the right side, we have shown that the statement = sec e is an identity

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 68E
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Show that the following statement is an identity by transforming the left side into the right side.
csc e
cot e
We begin by writing the left side in terms of sin 8 and cos 8. We can then simplify the compound fraction, and rewrite in terms of sec 8.
sec e
1/sin 8
csc e
cot 8
(cos 8)/(
sin 8 cos e
= sec 0
Csc e
cot 8
Because we have succeeded in transforming the left side into the right side, we have shown that the statement
= sec e is an identity.
Transcribed Image Text:Show that the following statement is an identity by transforming the left side into the right side. csc e cot e We begin by writing the left side in terms of sin 8 and cos 8. We can then simplify the compound fraction, and rewrite in terms of sec 8. sec e 1/sin 8 csc e cot 8 (cos 8)/( sin 8 cos e = sec 0 Csc e cot 8 Because we have succeeded in transforming the left side into the right side, we have shown that the statement = sec e is an identity.
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