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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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Answer» 2 `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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