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

Find all solutions of the equation in the interval [0, 2 pi). (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) 3 cos x + 3 sin x tan x = 6 x =

Solution

3 cosx +3sinx tanx =6

cosx +sinx(sinx/cosx) =2

cosx +(sin²x/cosx) =2

(cos²x +sin²x)/cosx =2

1/cosx =2

cosx =1/2

x =/3 ,5/3