This was one of the questions on my exam. Nobody was able to solve it, so I'm starting to wonder if there is a solution to this problem. Please have a look at it:
sinx .(1/sinx . 1/sin2x + 1/sin2x . 1/sin3x) = cot (ax) + cot (bx)
What's the value of a and b?
I hope for you people who put effort in this that there is a solution to this question. Would be kind of a stupid exam question if there isn't, wouldn't it?