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Show that the following statement is an identity by transforming the left side into the right side. cos? e csc e - sin e = sin e We begin by writing the left side in terms of sin e and cos e. We can then combine terms as a single fraction, and use the Pythagorean Identity to simplify. Csc e - sin e = - sin e sin e cos? e sin e cos? e Because we have succeeded in transforming the left side into the right side, we have shown that the statement csc e – sin e = . is an identity. sin e

Show that the following statement is an identity by transforming the left side into the right side. cos? e csc e - sin e = sin e We begin by writing the left side in terms of sin e and cos e. We can then combine terms as a single fraction, and use the Pythagorean Identity to simplify. Csc e - sin e = - sin e sin e cos? e sin e cos? e Because we have succeeded in transforming the left side into the right side, we have shown that the statement csc e – sin e = . is an identity. sin e

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section: Chapter Questions
Problem 16RE
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Show that the following statement is an identity by transforming the left side into the right side. cos? e csc e - sin e = sin e We begin by writing the left side in terms of sin e and cos e. We can then combine terms as a single fraction, and use the Pythagorean Identity to simplify. Csc e - sin e = - sin e sin e cos? e sin e cos? e Because we have succeeded in transforming the left side into the right side, we have shown that the statement csc e – sin e = . is an identity. sin e
Transcribed Image Text:Show that the following statement is an identity by transforming the left side into the right side. cos? e csc e - sin e = sin e We begin by writing the left side in terms of sin e and cos e. We can then combine terms as a single fraction, and use the Pythagorean Identity to simplify. Csc e - sin e = - sin e sin e cos? e sin e cos? e Because we have succeeded in transforming the left side into the right side, we have shown that the statement csc e – sin e = . is an identity. sin e
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