Multiple Choice Questions on If cos A cos2 A 1 then what is the value of 2 sin2 A sin4 A ........ for Mathematics - All Exams Preparation

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Multiple Choice Questions

If cos A cos2 A 1 then what is the value of 2 sin2 A sin4 A ........

Quantitative Aptitude ( CCS) Trignometry
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    If cos A + cos2 A = 1, then what is the value of 2(sin2 A + sin4 A)?

    4

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    2

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    1

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    1/2

    Incorrect Answer
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    Explanation:

    cos A + cos2 A = 1
    cos A = 1 – cos2 A = sin2 A         ...(i)
    Now,  2(sin2 A + sin4 A) = 2(sin2 A + cos2 A)
    [? from eq.(i) sin2 A = cos A, then sin4 A = cos2 A ]
    = 2 × 1 = 2.

    By: Amit Kumar
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