hehe! Cos here is the short for trigonometric function Cosine.
More here
I thought most people might know this or maybe you are just joking. hehehe! Anyway, having said this, of course, the solution is invalid.
Based sa akong experience, the only way to solve this is by numerical means especially by iterative methods. You make a guess solution and then the iterate again and again and you will arrive at the correct solution. Here's one method.
Newton's method - Wikipedia, the free encyclopedia
To my knowledge, there is probably no formal proof for this but I could be wrong.
This occurs a lot in physics whether in theoretical, experimental or applied physics or in engineering. Most solutions to problems can not really be solved analytically (derive2x) and require numerical solutions or simulations as some would like to call it.
![wink](images/smilies/wink.gif)