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Verify that the trigonometric equation is an identity. (cot²x+1) (cot²a-1) =csc4a-2csc²α Which of the following statements establishes the identity? OA. (cot²a+1) (cot²a-1)= sin ²α(1 + cos 2 2 s²α) = | = sin ²α(1+1- sin²a) = csc ^a-2 csc²a s²α) = = csc α-2csc²α 4a-2 csc²a 2 OB. (cot²a + 1) (cot²x - 1) = cos ²α(1 + sin²a): | = cos ² α(1+1 - cos² 2 2 OC. (cot²a + 1) (cot²a - 1) = csc²a( cot²a - 1) = csc ² a (csc²α-1 - 1) = csc 2 OD. (cot²a + 1) (cot²a − 1) = cot² a (csc²a + 1) = cot²a( cot²α+1+1) = csc ^x-2csc²α

Verify that the trigonometric equation is an identity. (cot²x+1) (cot²a-1) =csc4a-2csc²α Which of the following statements establishes the identity? OA. (cot²a+1) (cot²a-1)= sin ²α(1 + cos 2 2 s²α) = | = sin ²α(1+1- sin²a) = csc ^a-2 csc²a s²α) = = csc α-2csc²α 4a-2 csc²a 2 OB. (cot²a + 1) (cot²x - 1) = cos ²α(1 + sin²a): | = cos ² α(1+1 - cos² 2 2 OC. (cot²a + 1) (cot²a - 1) = csc²a( cot²a - 1) = csc ² a (csc²α-1 - 1) = csc 2 OD. (cot²a + 1) (cot²a − 1) = cot² a (csc²a + 1) = cot²a( cot²α+1+1) = csc ^x-2csc²α

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 71E
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Verify that the trigonometric equation is an identity. (cot²x+1) (cot²a-1) =csc4a-2csc²α Which of the following statements establishes the identity? 2 2 | = sin ²α(1+1- sin²a) = csc ^a-2 csc²a OA. (cot²a+1) (cot²a-1) = sin²a(1 + cos s²α) = OB. (cot²a + 1) (cot²a-1) = cos ²a (1 + sin ²a) = cos ²a(1+1- cos²a) = csc^x-2csc²α OC. (cot²a + 1) (cot²a-1) = csc²a (cot²a-1) = csc²a (csc²α-1-1) = csc ^α-2 csc ²α 2 2 2 OD. (cot²a + 1) (cot²x - 1) = cot²a(csc²a + 1) = cot²a( cot²a + 1 + 1) = csc ^α-2 csc ²α
Transcribed Image Text:Verify that the trigonometric equation is an identity. (cot²x+1) (cot²a-1) =csc4a-2csc²α Which of the following statements establishes the identity? 2 2 | = sin ²α(1+1- sin²a) = csc ^a-2 csc²a OA. (cot²a+1) (cot²a-1) = sin²a(1 + cos s²α) = OB. (cot²a + 1) (cot²a-1) = cos ²a (1 + sin ²a) = cos ²a(1+1- cos²a) = csc^x-2csc²α OC. (cot²a + 1) (cot²a-1) = csc²a (cot²a-1) = csc²a (csc²α-1-1) = csc ^α-2 csc ²α 2 2 2 OD. (cot²a + 1) (cot²x - 1) = cot²a(csc²a + 1) = cot²a( cot²a + 1 + 1) = csc ^α-2 csc ²α
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