Multiple Choice Questions on If 7 sin2 theta 3 cos2 theta 4 0 deg lt theta lt 90 deg then value of theta is ........ for Mathematics - All Exams Preparation

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Multiple Choice Questions

If 7 sin2 theta 3 cos2 theta 4 0 deg lt theta lt 90 deg then value of theta is ........

Quantitative Aptitude ( CCS) Trignometry
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    If 7 sin2θ + 3 cos2 θ = 4, (0° < θ < 90°), then value of θ is

    π/2

    Incorrect Answer

    π/3

    Incorrect Answer

    π/6

    Correct Answer

    π/4

    Incorrect Answer
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    Explanation:

    7 sin2θ + 3 cos2θ = 4
    4 sin2θ + 3 (sin2θ + cos2θ) = 4
    4 sin2θ + 3 sin2θ + 3 cos2θ = 4
    sin2θ = 1/4
    sin θ = 1/4
    θ = π/6

    By: Amit Kumar
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