1
$\begingroup$

Am I right, that the following is the so-called trigonometric form of the complex number $c \in \mathbb{C}$?

$|c| \cdot (\cos \alpha + \mathbf{i} \sin \alpha)$

And the following is the Euler form of the very same number, right?

$|c|\cdot \mathbf{e}^{\mathbf{i}\alpha}$

I think there must be a mistake in one of my tutor's notes..

  • 0
    For the second one I don't know if it's called Euler Form but perhaps the name comes from Euler's Formula $e^{i\theta} = \cos \theta + i \sin \theta$.2012-01-22
  • 0
    yes. The second version is often named 'exponential form'.2012-01-22
  • 0
    [polar form of complex number](http://en.wikipedia.org/wiki/Complex_number#Polar_form)2012-01-22

1 Answers 1