Multiple Choice Questions on If 00 lt theta lt 900 and 2sin2 theta 3cos theta 3 then the value of theta is ........ for SSC CGL Exam Preparation

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Multiple Choice Questions

If 00 lt theta lt 900 and 2sin2 theta 3cos theta 3 then the value of theta is ........

Quantitative Aptitude (CGL) Trignometry
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    If 00<θ<900 and 2sin2θ+3cosθ=3, then the value of θ is,

    30

    Incorrect Answer

    45

    Incorrect Answer

    60

    Correct Answer

    90

    Incorrect Answer
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    Explanation:

    Given equation,
    2sin2θ+3cosθ=3
    Or, 2−2cos2θ+3cosθ=3,
    Or, 2cos2θ−3cosθ+1=0.
    Or, (2cosθ−1)(cosθ−1)=0.
    But as, 0<θ<90, cosθ≠1 leaving, 2cosθ=1, or, θ=60.

    By: MIRZA SADDAM HUSSAIN
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