
solve a trig problem
Can someone point me in the right direction on how to solve this problem?
$\displaystyle 2sinx  sin2x = \frac{4}{\pi}$
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
$\displaystyle 2sinx(1cosx) = \frac{4}{\pi}$
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.