Find all solutions of the equation in the interval 0 2pi 3s

Find all solutions of the equation in the interval (0, 2pi) .

3sec^2x-4=0

Write your answer in radians in terms of pi . If there is more than one solution, separate them with commas.

3sec^2x -4 =0 ; interval (0, 2pi)

sec^2x = 4/3

secx = 2/sqrt3 ; secx = -2/sqrt3

cosx = sqr3/2

x= pi/6 , 2pi -pi/6 = pi/6 , 11pi/6

cosx = -sqrt3/2

x = pi -pi/6 , pi +pi/6 = 5pi/6 , 7pi/6

Solution : x= pi/6 , 11pi/6 , 5pi/6 , 7pi/6