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

Find all solutions of the equation in the interval [0, 2 pi). (If there is no solution, enter NO SOLUTION.) 3 cos x + 3 sin x tan x = 6

Solution

3 cos x + 3sinx tanx=6

3(cos x + sin²x/cosx)=6

3(cos²x+ sin²x)=6 cos x

3=6 cos x

cos x=1/2

x=cos^-1(1/2)

x=pi/3, 5pi/3

smaller value is pi/3   and larger value is 5pi/3