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    Question

    If (cos A - sin A) = тИЪ2 cos (90┬░ - A), then find the

    value of cot A.
    A (тИЪ2 + 1) Correct Answer Incorrect Answer
    B (тИЪ2 - 1) Correct Answer Incorrect Answer
    C тИЪ3 Correct Answer Incorrect Answer
    D (1/тИЪ2) Correct Answer Incorrect Answer

    Solution

    We have, (cos A - sin A) = тИЪ2 cos (90┬░ - A)

    Or, (cos A - sin A) = тИЪ2 sin A

    Or, cos A = (тИЪ2 + 1) sin A

    Or, {(cos A)/(sin A)} = (тИЪ2 + 1)

    So, cot A = (тИЪ2 + 1)

    Hence, option a.

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