Multiple Choice Questions on If 3sinx 2cos2x 0 then the value of lsquo x rsquo satisfies the given equation ........ for NDA Exam Preparation

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Multiple Choice Questions

If 3sinx 2cos2x 0 then the value of lsquo x rsquo satisfies the given equation ........

Mathematics (NDA) Trigonometry
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    If 3sinx + 2cos2x = 0 then the value of ‘x’ satisfies the given equation?

    π/2

    Incorrect Answer

    π/6

    Correct Answer

    π/5

    Incorrect Answer

    π

    Incorrect Answer
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    Explanation:

    3sinx + 2cos 2x = 0

    3sinx +2(1-sin2 x)=0

    2 sin2 x -3sinx -2   =0

    2 sin2 x+4sinx –sinx -2=0

    2 sinx(sinx +2)-1(sinx  +2)=0

    (sinx +2)(2sinx -1) =0

    Sinx =-2

    Sinx=1/2

    X=π/6

    By: bhavesh kumar singh
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