Trigonometry

UNknown 2010

1. The problem statement, all variables and given/known data
Show that:
csc 2 + csc 4 + csc 8 + ...... + csc 1024 = cot 1 - cot 1024


2. Relevant equations
1+cot²x = csc²x


3. The attempt at a solution
I don't know how to start !!!!!!!!

Dick

The identity you really want is csc(2x)=cot(x)-cot(2x). Can you prove that and apply it?

UNknown 2010

I got it :)

Thanks a lot