Question

The set of values of x in (0,TC) satisfying the equation 1+ log, sin x + log, sin 3x 20, is 211 371 I a 20 2' 3 2

IIT/JEE

Maths

Solution

4.0 (1 ratings)

( |f| operatorname{eg}_{2} sin x+log _{2} sin 3 x geq 0 ) ( sin 3 x=3 sin x-4 sin ^{3} x ) ( 1+10 g_{2} sin x+10 g int_{2}left(3 sin x-4 sin ^{3} xright) geq 0 ) ( 1+log _{2} sin x+log _{2} sin x+log _{2}left(3-4 sin ^{2} xright)>0 ) ( x in(0, pi) quad ) at ( quad x=frac{1}{3} ) ft is sero IRAIR ( mathrm{C}_{10}^{1} ) ( a+x=frac{2 pi}{3} ) ( 1 t ) is 3000 ( S_{0} quad k in quadleft(frac{pi}{3}, frac{2 pi}{3}right) )