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..