Multiple Choice Questions on If sin alpha sin beta 0 cos alpha cos beta where 0 lt beta lt alpha lt 2 pi then which one of the fo........... for NDA Exam Preparation

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Multiple Choice Questions

If sin alpha sin beta 0 cos alpha cos beta where 0 lt beta lt alpha lt 2 pi then which one of the fo...........

Mathematics (NDA) Trigonometry
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    If sin α + sin β = 0 = cos α +cos β,where 0 < β<α< 2π, then which one of the following is correct?

    α= π - β

    Incorrect Answer

    α=π +β

    Correct Answer

    α = 2π- β

    Incorrect Answer

    2α = π + 2β

    Incorrect Answer
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    Explanation:

    ( sin α+ sin β )2+(cos α + cos β)2=0
    =>2+2cos(α-β)
    =>cos(α-β)= -1= cos π
    => α = π + β

    By: Munesh Kumari
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