Solution(s) of the equation  sin⁡x2+cos⁡x2=2sin⁡x is/are 

Solution(s) of the equation  sinx2+cosx2=2sinx is/are 

  1. A

    x=nπ+(1)n+1π32,nZ

  2. B

    x=nπ+(1)n+1π22,nZ

  3. C

    x=nπ+(1)n+1π62,nZ

  4. D

    x=2nπ+(1)nπ22,nZ

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    Solution:

    sinx2+cosx2=2sinx

    1+2sinx2cosx2=2sin2x1+sinx=2sin2x(2sinx+1)(sinx1)=0sinx=12 or sinx=1

    x=nπ+(1)nπ6 or x=nπ+(1)nπ2,nZx=nπ+(1)n+1π62 or x=nπ+(1)nπ22,nZ

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