I wasn't sure where to post this as i'm not sure if it's blindingly simple or more difficult, I'm an out of practice engineering student so either is just as likely
anyway, just trying to solve for theta
I could easily get an answer using a calculator, but i want to do it analytically.
is that just pretty much using guess and check? i was hoping for an exact answer.
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edit
it seems that if i was to use that method i'd just use a calculator (not meaning to sound abrasive)
you can't find the exact value of it, you just can solve it numerically by bisection method or newtons method
see this link for newton's method
Newton's Method
newton's method converges faster than bisection method so it is better
Newton's Method is more computationally expensive though, so I would not necessarily call it better. Secant method is another iteration method that can be used. Also, these methods will converge to different values based on an initial guess, because you are finding a root to a function that has more than one root. The root that you find will be dependent on the initial guess, so make sure you guess something near where you expect the solution to be based on your own requirements.