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    Question

    If (sin A + 2cos A) = 4 cos (90° - A), then find the

    value of cot A.
    A 3/2 Correct Answer Incorrect Answer
    B √2 Correct Answer Incorrect Answer
    C (√3 - 1) Correct Answer Incorrect Answer
    D 2 Correct Answer Incorrect Answer

    Solution

    We have, (sin A + 2cos A) = 4 cos (90° - A)

    Or, (sin A + 2cos A) = 4 sin A

    Or, 2cos A = 3 sin A

    Or, {(cos A)/(sin A)} = 3/2

    So, cot A = 3/2

    Hence, option a

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