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    Question

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

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

    Solution

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

    Or, (cos A - sin A) = √2 sin A

    Or, cos A = (√2 + 1) sin A

    Or, {(cos A)/(sin A)} = (√2 + 1)

    So, cot A = (√2 + 1)

    Hence, option a.

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