Multiple Choice Questions on If 4cos q ndash 3secq tan theta then find the solution of the trigonometric equation ........ for NDA Exam Preparation

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Multiple Choice Questions

If 4cos q ndash 3secq tan theta then find the solution of the trigonometric equation ........

Mathematics (NDA) Trigonometry
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     If 4cos q – 3secq =tanθ, then find the solution of the trigonometric equation?

     Θ =nπ +sin-1 (-1 +√17)/8

    Incorrect Answer

    Θ =2nπ +sin-1 (-1 +√15)/8

    Incorrect Answer

    Θ =2nπ +sin-1 (-1 +√17)/5

    Incorrect Answer

    Θ =2nπ +sin-1 (-1 +√17)/8

    Correct Answer
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    Explanation:

    4cos q – 3secq  =tanθ

    4 cos 2 θ -3 =sinθ

    4(1- sin2 θ)-sinθ  -3=0

    4sin2 θ +sinθ  -1 =0

    Sinθ  =-1±√1+16 /8

    =(-1 ± √17 )/8  

    Θ =2nπ +sin-1 (-1 +√17)/8

    By: bhavesh kumar singh
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