Multiple Choice Questions on If tan 2 theta sec2 theta 3 2 radic 2 sec theta tan theta then find the value of q that satisf........... for NDA Exam Preparation

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Multiple Choice Questions

If tan 2 theta sec2 theta 3 2 radic 2 sec theta tan theta then find the value of q that satisf...........

Mathematics (NDA) Trigonometry
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    If tan 2θ +sec2 θ +3 =2(√2 secθ +tanθ) then find the value of q that satisfies the given equation?

    nπ +π/4 

    Incorrect Answer

    2nπ +π/3 

    Incorrect Answer

    2nπ +π/4 

    Correct Answer

    2nπ +π/5 

    Incorrect Answer
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    Explanation:

    tan 2θ +sec2 θ +3 =2(√2 secθ +tanθ)

    tan 2θ +sec2 θ +3 -2tanθ-2√2 secθ =0

    tan 2θ +1-2tanθ + sec2 θ -2√2 secθ +2=0

    (tanθ -1)2 +( secθ -√2)2  =0

    tanθ -1=0

    tanθ =1  , secθ -√2=0

    θ=2nπ +π/4  ,θ=2nπ +π/4

    By: bhavesh kumar singh
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