# Complex Functions

• Sep 15th 2009, 06:47 PM
Aryth
Complex Functions
Find v and a if $z = \cos{(2t)} + i\sin{(2t)}$.

I understand that:

$\frac{dz}{dt} = \frac{dx}{dt} + i\frac{dy}{dt}$

And similarly for the acceleration derivative.

I'm just not 100% sure that the velocity and acceleration I got are correct, especially the acceleration.
• Sep 16th 2009, 07:38 AM
HallsofIvy
Quote:

Originally Posted by Aryth
Find v and a if $z = \cos{(2t)} + i\sin{(2t)}$.

I understand that:

$\frac{dz}{dt} = \frac{dx}{dt} + i\frac{dy}{dt}$

And similarly for the acceleration derivative.

I'm just not 100% sure that the velocity and acceleration I got are correct, especially the acceleration.

Well, then, tell us what you got and we can check them for you!