Equation for Solving v: Steps, Tips & Results | Did I Solve it Right?

[ektrules]

Here's the equation.
$$\frac{mv^{2}}{r}=\frac{mg+C_{a}v^{2}cos\vartheta}{cos\vartheta-\mu sin\vartheta}\left(\mu cos\vartheta+sin\theta\right)-C_{a}v^{2}sin\vartheta$$
After trying to solve for v, I got this:
$$v=\sqrt{\frac{mg\mu cos\vartheta+mg sin\vartheta}{-2\mu C_{a}cos\vartheta-2\mu C_{a}sin\vartheta+\frac{mcos\vartheta-\mu msin\vartheta}{r}}}$$
I'm not sure if this is correct though. I never took trig, so all the sin's and cos's confuse me, and I'm not exactly sure how to perform algebra on them.

 

[mathman]

I haven't checked your result. However, solving for v doesn't require knowing trig. Just put all the v² on one side of the equation, and put all the other terms on the other side. Then divide by the coefficent of v² and take the square root.