trigonometric equality: sqrt[3] sin(x) - cos(3x) = 1

[litlme]

How to solve this:

sqrt(3) sin x - cos(3x) =1

x=?

I'm stuck

I get : sqrt (3) sin (x) - 4 cos^3 (x)-3cos (x)=1
then I don't know what with cos^3 (x)

 

[stapel]

How to solve this:

sqrt(3) sin x - cos(3x) = 1

I don't know what you're really expected to do with this. The actual solution is messy and hardly something one would be expected to "find" on one's own, I've got to think. (here) What generated this question?

 

[litlme]

It's in the book.
It looks hard, I don't know