Simplifying Trigonometric expressions

[tatiana_eggs]

Homework Statement

Hey guys, having a trig brain fart here, can you point me in the direction of simplifying:

$$\frac{6cos\vartheta}{2sin\vartheta-3cos\vartheta}$$

or is it as simplified as it gets? \

Homework Equations

Thought about using double angle formula

The Attempt at a Solution

Just a point in the right direction would be helpful, i.e. what identity to use if the expression can be simplified

 

[CompuChip]

You could try double angle formulas, but then you will probably end up with
$$\frac{6 \cos\theta}{2 \cos 2\theta - \sin\theta}$$
or something like that.

You could rewrite $\sin\theta = \tan\theta \cos\theta$ and get rid of the cosine.

Other than that, I don't think there is much simplification possible.