Sin x cos x Squareroot 24Solutionsin x cos x sqrt24 multipl

Solution

sin x cos x= sqrt2/4

multiply both sides by 2

2 sin x cos x = sqrt2 / 2

sin 2x=sqrt2 /2

taking sin^-1on both sides

2x=sin^-1(sqrt2 /2)

2x= pi/4, 3pi/4, 9pi/4, 11pi/4

x= pi/8, 3pi/8, 9pi/8,11pi/8 in   [0,2pi)