Show that the following statement is an identity by transforming the left side into the right side. csc 0 - sin 0 = cos2 0 sin 0 We begin by writing the left side in terms of sin 0 and cos 0. We can then combine terms as a single fraction, and use the Pythagorean Identity to simplify. - sin 0 csc 0 - sin 0 = sin (0) sin 0 cos? 0 sin 0 Because we have succeeded in transforming the left side into the right side, we have shown that the statement csc 0 - sin 0 = cos- U sin 0 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 0 - sin 0 = cos2 0
sin 0
We begin by writing the left side in terms of sin 0 and cos 0. We can then combine terms as a single fraction, and use the Pythagorean Identity to simplify.
- sin 0
csc 0 - sin 0 =
sin (0)
sin 0
cos? 0
sin 0
Because we have succeeded in transforming the left side into the right side, we have shown that the statement csc 0 - sin 0 = cos- U
sin 0
is an identity.
Transcribed Image Text:Show that the following statement is an identity by transforming the left side into the right side. csc 0 - sin 0 = cos2 0 sin 0 We begin by writing the left side in terms of sin 0 and cos 0. We can then combine terms as a single fraction, and use the Pythagorean Identity to simplify. - sin 0 csc 0 - sin 0 = sin (0) sin 0 cos? 0 sin 0 Because we have succeeded in transforming the left side into the right side, we have shown that the statement csc 0 - sin 0 = cos- U sin 0 is an identity.
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