Complex Functions

**Aryth** · September 15th 2009, 06:47 PM

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.

**HallsofIvy** · September 16th 2009, 07:38 AM

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!

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