# Splitting an exponential complex number into real and imaginary parts

1. Jan 5, 2012

### dan5

e-z2

where z is a complex number a+ib

2. Jan 5, 2012

### I like Serena

Welcome to PF, dan5!

Can you calculate -z2?

-z2 should be of the form c + id.

According to Euler's formula, we have $e^{c+id} = e^c ( \cos d + i \sin d )$.
So the real part is $e^c \cos d$ and the imaginary part is $e^c \sin d$.

3. Jan 5, 2012

### dan5

Ahhh now I see, thanks to you, and to Euler!