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The number of solution of the pair of eq...

The number of solution of the pair of equations `2sin^2theta-cos2theta=0a n d 2cos^2theta-3sintheta=0` in the interval `[0,2pi]` is 0 (b) 1 (c) 2 (d) 4

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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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