Number of solutions of the equation tanx+secx=2cosx in the interval  [0,2π] is

Number of solutions of the equation tanx+secx=2cosx in the interval  [0,2π] is

  1. A

    0

  2. B

    1

  3. C

    2

  4. D

    3

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    Solution:

    sinx+1cosx=2cosx                       (cosx0)

    2sin2x+sinx1=0

    (2sinx1)(sinx+1)=0sinx=12

    but sinx+10     cosx0)

    x=π6,5π6 in [0,2π]

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