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    Question

    If (sin A + cos A) = √3 cos (90° - A), then find the

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

    Solution

    We have, (sin A + cos A) = √3 cos (90° - A)

    Or, (sin A + cos A) = √3 sin A (since, cos (90° - A) = sin A)

    Or, cos A = (√3 - 1) sin A

    Or, {(cos A)/(sin A)} = (√3 - 1)

    So, cot A = (√3 - 1)

    Hence, option a.

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