Multiple Choice Questions on If cos4 A ndash sin4 A p then find the value of p ........ for Mathematics - All Exams Preparation

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Multiple Choice Questions

If cos4 A ndash sin4 A p then find the value of p ........

Quantitative Aptitude ( CCS) Trignometry
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    If cos4 A – sin4 A = p, then find the value of p.

    2 cos2 A – 1

    Correct Answer

    2 cos2 A + 1

    Incorrect Answer

    cos2 A – 1

    Incorrect Answer

    cos2 A + 1

    Incorrect Answer
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    Explanation:
    we know, a2 – b2 = (a + b) (a – b)
    ⇒ (cos2 A)2 – (sin2 A)2
    = (cos2 A + sin2 A) (cos2 A – sin2 A)
    ⇒  {cos2 A – (1 – cos2 A)}        [using,sin2 A + cos2 A = 1]
    ⇒  2 cos2 A – 1

    By: Amit Kumar
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