Prove the following identity. csc e - cot 0 Sin2 e 2 csc e We begin by writing the right side of the equation in terms of sines and cosines using the Reciprocal and Ratio Identities. We can then write the compound fraction as a simple fraction, and use a Half-Angle Formula to simplify. csc e - cot 0 sin 0 2 csc e sin e sin e sin e sin e Sin? 0

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 following identity.
csc e - cot e
sin?
2 csc e
We begin by writing the right side of the equation in terms of sines and cosines using the Reciprocal and Ratio Identities. We can then write the compound fraction as a
simple fraction, and use a Half-Angle Formula to simplify.
csc e - cot e
sin e
sin e
2 csc e
sin e
sin e
sin e
2
= sin?
2
Transcribed Image Text:Prove the following identity. csc e - cot e sin? 2 csc e We begin by writing the right side of the equation in terms of sines and cosines using the Reciprocal and Ratio Identities. We can then write the compound fraction as a simple fraction, and use a Half-Angle Formula to simplify. csc e - cot e sin e sin e 2 csc e sin e sin e sin e 2 = sin? 2
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