Question

    If cot⁴ A + cot² A = 1, then find the value of cos⁴

    A – 3cos² A.
    A –1 Correct Answer Incorrect Answer
    B –2 Correct Answer Incorrect Answer
    C 2 Correct Answer Incorrect Answer
    D 1 Correct Answer Incorrect Answer

    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.

    Practice Next