Multiple Choice Questions on If tan4 theta tan2 theta 1 then the value of cos4 theta cos2 theta is ........ for Mathematics - All Exams Preparation

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Multiple Choice Questions

If tan4 theta tan2 theta 1 then the value of cos4 theta cos2 theta is ........

Quantitative Aptitude ( CCS) Trignometry
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    If tan4θ + tan2θ = 1, then the value of cos4θ + cos2θ is

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    Explanation:

    tan4θ + tan2θ = 1
    tan2θ (tan2θ + 1)
    ⇒ tan2θ. sec2θ = 1 {? sec2θ = 1 + tan2θ}
    = sin2θ /cos4θ = 1
    ⇒ 1– cos2θ = cos4 θ {? sin2 θ = 1 – cos2θ}
    ⇒ cos4 θ + cos2 θ = 1

    By: Amit Kumar
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