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