Question

(ii) sin" (2xv1 – x2) = 2 cos x, TSx51

11th - 12th Class

Maths

Solution

105

4.0 (1 ratings)

[ 1 e+x=cos theta ] ( frac{1}{sqrt{2}} quad underline{c} cos theta leq 1 ) [ begin{aligned} cos left(frac{pi}{4}right) & leq cos theta leq cos (0) frac{pi}{4} / 2 &left(0 leq 0 leq frac{pi}{4}right)=0 leq 20 leq pi end{aligned} ] ( sin left(2 cos theta sqrt{left.1-cos ^{2} thetaright)}=2 cos ^{-1}(cos theta)right. ) Sim ( (sin 2 theta)=2 cos ^{-1}(cos theta) ) Hence proved as we are getting ( 2 theta=2 theta quad & quad ) condition 5 are satisfied