Find all solutions of the equation in the interval 0 2 pi sq

Find all solutions of the equation in the interval [0, 2 pi). squareroot 3 csc 3 theat + 2 = 0 Write your answer in radians in terms of pi. If there is more than one solution, separate them with commas.

Solution

3*csc3 + 2 = 0

csc3 = -2/3

sin3 = -3/2

3 = arcsin(-3/2) = -60 = -pi/3, 4pi/3

= -pi/9, 4pi/9