Multiple Choice Questions on Find the number of solutions of tanx secx 2cosx in 0 2 pi ........ for NDA Exam Preparation

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Multiple Choice Questions

Find the number of solutions of tanx secx 2cosx in 0 2 pi ........

Mathematics (NDA) Trigonometry
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    Find the number of solutions of tanx + secx = 2cosx in [0, 2π]  ?

    2

    Correct Answer

    3

    Incorrect Answer

    5

    Incorrect Answer

    1

    Incorrect Answer
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    Explanation:

    Here tanx+secx  =2cosx

    Sinx +1=2cos 2x

    2 Sin 2x+ Sinx-1 =0

    Sinx  =1/2  ,-1

    Sinx=-1

    X=3π/2 ,for which tanx +secx=2cosx  is not defined

    Sinx =1/2   ,x=π/6  ,5π/6

    Number of solutions of tanx +secx  =2cosx  is 2

    By: bhavesh kumar singh
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