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The number of solution of the equation s...

The number of solution of the equation `sin2theta-2costheta+4sintheta=4in[0,5pi]` is equal to 3 (b) 4 (c) 5 (d) 6

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`sin2theta-2costheta+4sintheta=4`
`2sintheta*csotheta+4sintheta=4+2costheta`
`2sintheta(costheta+2)=2(costheta+2)`
`sintheta=1`
`theta=pi/2,5/2pi,9/2pi`.
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