Find all solutions of the equation in the interval 0 2 Enter

Find all solutions of the equation in the interval [0, 2) (Enter your answers as a comma-separated list.)

sin(x+6)-sin(x-7/6)= squareroot3 / 2

use formula : sin(A+ / - B) sinAcosB +/- cosAsinB

sinxcospi/6 + cosxsinpi/6 + sinxcospi/6 - cosxsinpi/6 = squareroot3 / 2

2sinx cospi/6 = sqrt3/2

2sqrt3./2 sinx = sqrt3/2

sinx = 1/2

x = sin^-1(1/2) = pi/6 , pi-pi/6

in the interval [0, 2) : x = pi/6 , 5pi/6