Prove the identity. 1+ cos X = 2 csc?x-1 sin x To verify the identity, work each side separately until you obtain the same expression. Start with the left side. Choose the correct step and transform the expression according to the step chosen. 1+ cos (1) sin x (2) = 2 csc?x-1 (3) (3) O Apply a tangent identity. O Apply a reciprocal identity. O Apply a Pythagorean identity. (2) O Simplify, then write as a difference of two terms. (1) O Apply a Pythagorean identity. O Apply a tangent identity. O Apply a double-angle identity. O Factor in the numerator. O Multiply by 1.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section: Chapter Questions
Problem 14RE
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Prove the identity.
1+ cos X
=2 csc?x-1
sin x
To verify the identity, work each side separately until you obtain the same expression. Start with the left side. Choose the correct step and transform the expression according to the step chosen.
1+ cos "x
(1)
sin x
(2)
= 2 csc?x-1
(3)
(3) O Apply a tangent identity.
O Apply a reciprocal identity.
O Apply a Pythagorean identity.
(2) O Simplify, then write as a difference of two terms.
(1) O Apply a Pythagorean identity.
O Apply a tangent identity.
O Apply a double-angle identity.
O Factor in the numerator.
O Multiply by 1.
Transcribed Image Text:Prove the identity. 1+ cos X =2 csc?x-1 sin x To verify the identity, work each side separately until you obtain the same expression. Start with the left side. Choose the correct step and transform the expression according to the step chosen. 1+ cos "x (1) sin x (2) = 2 csc?x-1 (3) (3) O Apply a tangent identity. O Apply a reciprocal identity. O Apply a Pythagorean identity. (2) O Simplify, then write as a difference of two terms. (1) O Apply a Pythagorean identity. O Apply a tangent identity. O Apply a double-angle identity. O Factor in the numerator. O Multiply by 1.
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