Find the solutions of the equation that are in the interval

Find the solutions of the equation that are in the interval [0, 2pi). (Enter your cot^2 theta + Squareroot 3/3 cot theta = 0 theta = _____ Find the solutions of the equation that are in the interval (0, 2pi). Enter your answer 2 sin^2 u = 1 + sin u u = _____

Solution

cot² + 3/3*cot = 0

cot = 0 =======> = pi/2, 3pi/2

cot = -1/3 =========> = 2pi/3, 5pi/3