Multiple Choice Questions on If sin theta cos theta p and sec theta cosec theta q then the value of q p2 minus 1 is ........ for Mathematics - All Exams Preparation

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Multiple Choice Questions

If sin theta cos theta p and sec theta cosec theta q then the value of q p2 minus 1 is ........

Quantitative Aptitude ( CCS) Trignometry
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    If sinθ+cosθ=p and secθ+cosecθ=q, then the value of q(p2−1) is,

    2p

    Correct Answer

    p

    Incorrect Answer

    3p

    Incorrect Answer

    1

    Incorrect Answer
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    Explanation:

    We will straightaway start deriving the value of target expression with larger factor first,
    p2−1,
    =(sinθ+cosθ)2−1
    =2sinθ.cosθ, as sin2θ+cos2θ=1
    So,
    q(p2−1)
    =(2sinθ.cosθ)(secθ+cosecθ)
    =2(sinθ+cosθ)
    =2p.

    By: MIRZA SADDAM HUSSAIN
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