Solve the equation for x if 0 x 2 Give your answer in radia

Solve the equation for x if 0 x < 2. Give your answer in radians using exact values only. (Enter your answers as a comma-separated list.)

2 cos²x 3 sin x 3 = 0

x =

2cos²x-3 sinx -3=0

2 -2sin²x-3sinx -3=0

2sin²x+3sinx +1=0

2sin²^x +2sinx +sinx +1=0

2sinx(sinx +1)+1(sin x +1)=0

(2sinx +1)(sin x+1)=0

sin x=-1/2 ,sin x=-1

x=7pi/6, 11pi/6,3pi/2