Multiple Choice Questions on If 7 sin2 Theta 3 cos2 Theta 4 and 0 lt Theta lt pi 2 then the value of tan Theta is ........ for Mathematics - All Exams Preparation

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Multiple Choice Questions

If 7 sin2 Theta 3 cos2 Theta 4 and 0 lt Theta lt pi 2 then the value of tan Theta is ........

Quantitative Aptitude ( CCS) Trignometry
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    If 7 sin2 Θ + 3 cos2 Θ = 4 and 0 < Θ < π/2, then the value of tan Θ is  :

    √3 /√7

    Incorrect Answer

    √2 /√7

    Incorrect Answer

    1 /√3

    Correct Answer

    1 /√7

    Incorrect Answer
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    Explanation:

    7 sin2 Θ + 3 cos2= 4
    ⇒ 7 sin2 Θ + 3(1 – sin2 Θ ) = 4 ⇒ sin2 Θ  = 1/4,
    sin Θ = 1/2

    By: Amit Kumar
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