Multiple Choice Questions on If sin2 x sin x 1 then what is the value of cos12 x 3 cos10 x 3 cos3 x cos6 x ........ for CDS Exam Preparation

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Multiple Choice Questions

If sin2 x sin x 1 then what is the value of cos12 x 3 cos10 x 3 cos3 x cos6 x ........

Quantitative Aptitude (CDS) Trignometry
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    If  sin2 x + sin x = 1, then what is the value of  cos12 x + 3 cos10 x + 3 cos3 x + cos6 x?

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    Explanation:

    sin2x+sinx=1

    sinx=1-sin2x

    sinx=cos2x

     cos12 x + 3 cos10 x + 3 cos3 x + cos6 x?

    =(cos4x+cos2x)3

    =((cos2x)2+cos2x)3

    =(sin2x+cos2x)3

    =(1)3=1

    By: Munesh Kumari
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