Prove that the following identity is true. cot 0 cos 0 + sin 0 = csc 0 We begin by writing the left side of the equation in terms of sines and cosines. We can then combine the terms as a single fraction, and use a Pythagorean Identity to simplify. cot 0 cos 0 + sin COs sin e = sin 0 + sin 0 cos20 sin 0 X sin 0 = CSC 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 that the following identity is true.
cot 0 cos 0 + sin 0 = csc 0
We begin by writing the left side of the equation in terms of sines and cosines. We can then combine the terms as a single fraction, and use a Pythagorean Identity to simplify.
cot 0 cos 0 + sin
COs sin e
=
sin 0
+ sin 0
cos20
sin 0
X
sin 0
= CSC 0
Transcribed Image Text:Prove that the following identity is true. cot 0 cos 0 + sin 0 = csc 0 We begin by writing the left side of the equation in terms of sines and cosines. We can then combine the terms as a single fraction, and use a Pythagorean Identity to simplify. cot 0 cos 0 + sin COs sin e = sin 0 + sin 0 cos20 sin 0 X sin 0 = CSC 0
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