Verify that the trigonometric equation is an identity. (csc²a-1) (csc²a + 1) = cot*α + 2 cot² a Which of the following statements establishes the identity? 2 2 2 OA. (csc²a-1) (csc²a + 1) = cot²a(csc²a + 1) = cot²a (cot²a +1+1) = cot*a + 2 cot² a OB. (csc²a-1) (csc²a + 1) = tan²a( ²a(sec²a + 1) = tan²a( tan²a +1+1) = cota +2 cot*x + 2 OC. (csc²a-1) (csc²a + 1) = sin ²a (1 + cos² s²a) = sin ²a(1+1- sin²a) = cot*x+2 cot² a a OD. (csc²a-1) (csc²a + 1) = csc²a( cot²a-1) = csc ² cot²x csc²a(csc²a-1-1) = cota +2 = cot*α + 2 cot²a

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.1: Verifying Trigonometric Identities
Problem 63E
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Verify that the trigonometric equation is an identity.
2
(csc ²α-1) (csc²a + 1) = cot*α + 2 cot² a
Which of the following statements establishes the identity?
OA. (csc²a-1) (csc²a + 1) = cot²a(csc²a + 1) = cot²a ( cot²a +1+1) = cot* a + 2 cot² a
OB. (csc²a-1) (csc²a + 1) = tan²a( sec²a + 1) = tan ²α ( tan²α+1+1) = cot¹a + 2 cot² a
2
2
OC. (csc²a-1) (csc²a + 1) = sin ²α(1 + cos²a) = sin²a(1+1 - sin²a) = cot*α + 2 cot² a
OD. (csc²a-1) (csc²a + 1) = csc²a ( cot²a − 1) = csc²a(csc²a-1-1) = cotªa+2 cot²α
Transcribed Image Text:Verify that the trigonometric equation is an identity. 2 (csc ²α-1) (csc²a + 1) = cot*α + 2 cot² a Which of the following statements establishes the identity? OA. (csc²a-1) (csc²a + 1) = cot²a(csc²a + 1) = cot²a ( cot²a +1+1) = cot* a + 2 cot² a OB. (csc²a-1) (csc²a + 1) = tan²a( sec²a + 1) = tan ²α ( tan²α+1+1) = cot¹a + 2 cot² a 2 2 OC. (csc²a-1) (csc²a + 1) = sin ²α(1 + cos²a) = sin²a(1+1 - sin²a) = cot*α + 2 cot² a OD. (csc²a-1) (csc²a + 1) = csc²a ( cot²a − 1) = csc²a(csc²a-1-1) = cotªa+2 cot²α
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