Prove the identity. cos? e csc e + sin(-O) = sin e We will prove the identity by transforming the left side of the equation into the right side. We begin by writing the left side in terms of sines and cosines, and then writing each trigonometric term with a positive 0. We can then combine the terms as a single fraction, and use the Pythagorean Identity to simplify. 1 csc e + sin(-0) = + sin(-0) - sin e sin e cos? e sin e

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 69E
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Prove the identity.
cos? e
csc e + sin(-0) =
sin e
We will prove the identity by transforming the left side of the equation into the right side. We begin by writing the left side in terms of sines and cosines, and then writing each
trigonometric term with a positive 0. We can then combine the terms as a single fraction, and use the Pythagorean Identity to simplify.
csc e + sin(-0) =
+ sin(-0)
- sin e
sin e
cos? e
sin e
Transcribed Image Text:Prove the identity. cos? e csc e + sin(-0) = sin e We will prove the identity by transforming the left side of the equation into the right side. We begin by writing the left side in terms of sines and cosines, and then writing each trigonometric term with a positive 0. We can then combine the terms as a single fraction, and use the Pythagorean Identity to simplify. csc e + sin(-0) = + sin(-0) - sin e sin e cos? e sin e
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