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The number of solutions of the pair of equations `2sin^2 theta - cos(2 theta)=0,2cos^2 theta-3sin theta=0` in the interval `[0,2pi]` is

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`2sinn^2theta-cos2theta=0`
`2sin^2theta-(1-2sin^2theta)=0`
`2sin^2theta-1+2sin^2theta=0`
`4sin^2theta=1/e`
`sin^2theta=1/4`
`sintheta=1/2,-1/2`
`2cos^2theta-3sintheta=0`
`2(1-sin^2theta)-3sintheta=0`
...
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Knowledge Check

  • The numbers of solutions of the pair of equations 2sin^(2) theta-cos 2theta=0 cos^(2)theta-3sin theta=0 in the interval [0, 2pi] is

    A
    zero
    B
    one
    C
    two
    D
    four
  • The number of solutions of the pair of equations 2 sin^2 theta - cos 2 theta = 0 2 cos^2 theta - 3 sin = 0 in the interval [0,2pi] is

    A
    0
    B
    1
    C
    2
    D
    4
  • The number of solutions of the pair of equations 2 sin^(2) theta - cos 2 theta = 0, 2 cos^(2) theta -3 sin theta =0 in the interval [0, 2 pi] is

    A
    0
    B
    1
    C
    2
    D
    4
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