Answer:
q = 270 degrees + 360n where n is an integer
Explanation:
2 sin q + 3 = sin q + 2
Subtract sin q from each side
2 sin q - sin q + 3 = sin q + 2
sin q + 3 = 2
Subtract 3 from each side
sin q +3-3 = 2-3
sin q = -1
Take the inverse sin of each side
sin ^-1 (sin q) = sin^-1 (-1)
q = 270 degrees + 360n where n is an integer