show that the following statement is an identity by transforming the left side into the right side. sec e cot e 1 csc e We begin by writing the left side in terms of sin e and cos 0. We can then simplify the compound fraction, and reduce. cos e sin e 1 cos e sec e cot e 1 csc 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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Show that the following statement is an identity by transforming the left side into the right side.
sec e cot e
= 1
Csc e
We begin by writing the left side in terms of sin e and cos e. We can then simplify the compound fraction, and reduce.
1
cos e
cos e
sin e
sec e cot e
Csc e
cos e sin e
= 1
sec e cot e
Because we have succeeded in transforming the left side into the right side, we have shown that the statement
1 is an identity.
csc e
Transcribed Image Text:Show that the following statement is an identity by transforming the left side into the right side. sec e cot e = 1 Csc e We begin by writing the left side in terms of sin e and cos e. We can then simplify the compound fraction, and reduce. 1 cos e cos e sin e sec e cot e Csc e cos e sin e = 1 sec e cot e Because we have succeeded in transforming the left side into the right side, we have shown that the statement 1 is an identity. csc e
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To prove:secθcotθcscθ=1

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