Solve for x

(√3)sinx - cosx = 2

X is smaller than 360 degrees
Help

Hmmm.

√3 sinx = 2+cosx
3sin^2(x) = 4 + 4cosx + cos^2(x)
3 - 3cos^2x = 4 + 4cosx + cos^2(x)
4cos^2(x) + 4cosx + 1 = 0
(2cosx + 1)^2 = 0
cosx = -1/2

Looks like that is a good starting point. Check for extraneous solutions.