Q: Prove that,
(1 + sin 0 + i cos 0)^n
-------------------- = cos n (pi/2 - 0) + i sin n(pi/2 - 0)
(1 + sin 0 - i cos 0)^n
where, 0 = theta (Cant type it)
I've thought about multipying the conjugate (sin 0 + i cos 0) but it didnt work out nicely.. so I need some help with this! Thanks!
Argh.. my textbook never went into the Eulers rule..
so I dont really know how you got that..
I did a search on Wiki
e^i(nx) = cos (nx) + i sin (nx)
But this never appears in my textbook! Argh~
Is there any other ways to do it?
Thanks anyway though!!!