Question

    If tanθ – cotθ = a and cosθ + sinθ = b, then

    (b2 –1)(a2 + 4) = ?
    A 1 Correct Answer Incorrect Answer
    C 4 Correct Answer Incorrect Answer
    D 2 Correct Answer Incorrect Answer

    Solution

    Put θ = 45°
    then, a = tanθ – cotθ = 1 –1 = 0
    and, b = cosθ + sinθ
    = 1/√2 + 1/√2 =√2
    Now, (b 2 –1) (a 2 + 4) = (2 – 1) (0 + 4) = 4

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