# Let Ssub(0,pi) denote the set of values of x satisfying the equation 8^(1+|cos x|+cos^2x+|cos^(3x| tooo)=4^3 . Then, S= {pi//3} b. {pi//3,""2pi//3} c. {-pi//3,""2pi//3} d. {pi//3,""2pi//3}

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{pi//3}{pi//6,5pi//6}{pi//3,5pi//6}{pi//3,2pi//3}

We know that <br> -1lecosle1 <br> rArrabs(cosx)le1 <br> But, xinSrArrxin(0,pi)rArrabs(cosx)lt1 <br> Now, <br> 8^(1+abs(cosx)+cos^(2)x+abs(cos^(3)x)+..."to"oo)=4^(3) <br> rArr8^(1//(1-abs(cosx)))=8^(2) <br> or 1/(1-abs(cosx))=2 <br> or abs(cosx)=1/2 <br> or cos x=pm1/2 <br> or x=pi/3,2pi/3 <br> rArrS={pi//3,2pi//3}
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