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

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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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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