Multiple Choice Questions on If sin alpha sin alpha 2 1 then the value of cos alpha 12 3 cos alpha 10 3 cos alpha ........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

If sin alpha sin alpha 2 1 then the value of cos alpha 12 3 cos alpha 10 3 cos alpha ...........

Quantitative Aptitude ( CCS) Trignometry
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    If sin?α + (sin?α)2 = 1, then the value of (cos?α)12 + 3 (cosα)10 + 3 (cos?α)8 + (cos?α )6 – 1  is

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    Explanation:
    sin?α + (sin?α)2 = 1
    ⇒ sin ?α = 1 – (sin?α)2
    ⇒  sin?α = (cos?α)2
    According to the question,
    we have (cos?α)12 + 3(cos?α)10 + 3(cosα)8 + (cos?α )6 – 1
    ⇒ ((cos?α )4 + (cos?α)2)3 – 1
    ⇒  ((sin?α)2 + (cos?α)2)3 – 1 = 1 – 1 = 0

    By: Amit Kumar
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