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Question

If cot⁴ A + cot² A = 1, then find the value of cos⁴ A – 3cos²
A.

A –1 Correct Incorrect

B –2 Correct Incorrect

C 2 Correct Incorrect

D 1 Correct Incorrect

Detailed Solution

cot⁴ A + cot² A = 1 cot²A (cot²A+1) =1 cos²A/sin²A (cosec²A) =1 Cos²A =sin⁴A Cos²A =(1-cos²A)² Cos²A =1+cos⁴A-2cos²A cos⁴ A – 3cos² A. = -1.

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