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    Question

    If tan θ = 1 (θ an acute angle) then the value of 2

    sin θ cos θ – cosec²θ is:
    A –1 Correct Answer Incorrect Answer
    B 1 Correct Answer Incorrect Answer
    C –3 Correct Answer Incorrect Answer
    D 1 – √2 Correct Answer Incorrect Answer

    Solution

    tan θ = 1 =tan45 θ=45. Then – 2 sin θ cos θ – cosec²θ. 2 sin45.cos45-cosec2 45 2× (1/√2 ×1/√2) – (√2)2 =2×1/2 -2 =1-2= -1

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