- #1
sankalpmittal
- 785
- 26
Homework Statement
If m and x are two real numbers where m ε Integers, then e2micot-1x{(xi+1)/(xi-1)}m, (where i=√(-1)) is equal to :
(a) cos(x) + isin(x)
(b) m/2
(c) 1
(d) (m+1)/2
Homework Equations
The Attempt at a Solution
I seriously have no clear cut idea of how to proceed. I used this technique,
Since m is an integer, then I put m=0, and got the correct answer. :p
But I want a procedure, not a hit and trial method, of how to proceed.
I can write above as
{cos (2mcot-1x) + isin(2mcot-1x)}{(xi+1)/(xi-1)}m
But how to proceed after this ? Hints will do..
Please help !
Thanks in advance...