Try a = -3 and b = 1. I really don't know how humans are supposed to find that.
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?
Let's factor :
Notice thatthus the equality becomes
which can be written
From this last equality one can see more easily that the solution given by TKHunny is correct... but finding the values of and without knowing them seems to be a bit more difficult.