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If thetain(0,2pi) then number of solution of the equationcos^(4)2theta+2sin^(2)2theta=17(sintheta+costheta)^(8) is greater than of equal to

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Solution :`Let SIN2THETA=t`
`1+t^(4)=17(1+t)^(4)`
`8y^(2)+34y+35=0" where "y=t+(1)/(t)`
Solving :`y=-(5)/(2)`
`:.t=-(1)/(2)`
`sin2theta=-(1)/(2)`
`:.theta=(7pi)/(12),(11pi)/(12),(19pi)/(12),(23pi)/(12)`
`:.4" sollutions ".`


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