Multiple Choice Questions on If sin theta cos theta sin theta minus cos theta 5 4 then the value of tan2 theta 1 tan2 theta minus........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

If sin theta cos theta sin theta minus cos theta 5 4 then the value of tan2 theta 1 tan2 theta minus...........

Quantitative Aptitude ( CCS) Trignometry
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    If sinθ+cosθ/sinθ−cosθ=5/4, then the value of (tan2θ+1)/(tan2θ−1) will be,

    41/40

    Correct Answer

    41/9

    Incorrect Answer

    9/41

    Incorrect Answer

    40/9

    Incorrect Answer
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    Explanation:

    Applying the powerful componendo dividendo technique on the input expression we get directly,
    sinθ/cosθ=(5+4)/(5−4)=9,
    Or, tanθ=9
    Substituting in the target expression,
    E=92+1/92−1=82/80=41/40

    By: MIRZA SADDAM HUSSAIN
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