Show that the following statement is an identity by transforming the left side into the right side. csc e = sec e cot e We begin by writing the left side in terms of sin e and cos e. We can then simplify the compound fraction, and rewrite in terms of sec 0. 1/sin e csc e (cos 0)( cot e sin e cos e 1 = sec e Csc 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. cot e
Show that the following statement is an identity by transforming the left side into the right side. csc e = sec e cot e We begin by writing the left side in terms of sin e and cos e. We can then simplify the compound fraction, and rewrite in terms of sec 0. 1/sin e csc e (cos 0)( cot e sin e cos e 1 = sec e Csc 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. cot e
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Transcribed Image Text:Show that the following statement is an identity by transforming the left side into the right side.
csc e
= sec e
cot e
We begin by writing the left side in terms of sin e and cos e. We can then simplify the compound fraction, and rewrite in terms of sec 0.
1/sin e
csc e
(cos 0)(
cot e
sin e cos e
1
= sec e
Csc 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.
cot e
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