
solve a trig problem
Can someone point me in the right direction on how to solve this problem?
I need to solve for x. I'm honestly not even sure where to begin. I could use double angle identities to turn sin2x into 2sinxcosx, which would then let me turn it into
But I'm not sure how (or if) that would actually help me. Thanks in advance.

Re: solve a trig problem
Do you have to solve this exactly?
I gues using a calculator can be very useful, graph the two functions and look at the intersection points.
(Take a look @ wolphram alpha for example, the solution isn't easy)

Re: solve a trig problem
Oh, ok. Yes, I was trying to solve it exactly. This is actually part of a problem for Calculus 2 (mean value theorem for integrals) that ended up with trying to solve that particular problem to get the two intersection points for f(ave). I was tracking fine with the solution up to that point, but I have no idea where the book pulled the final answer from. I thought it was just my admittedly weak trig skills that were lacking. The book answer did give an approximate answer, so maybe I was just expected to graph it and guesstimate.
I did check out Wolphram (first time user, woo) and the solution look a bit beyond my current math level. Thanks for the post.

Re: solve a trig problem
Yes, indeed! The solution is complicated and I don't think it can be solved analytically.