Exponential Form (Edexcel A-Level Further Mathematics): Quizzes

$e^{i\theta} = \cos \theta + i \sin \theta$

The modulus (magnitude) of $z$

The arguments add: $\theta_1 + \theta_2$

$|z_1| \times |z_2|$

$\sqrt{2} e^{i\pi/4}$

$\frac{1}{2}(e^{i\theta} + e^{-i\theta})$

$\frac{1}{2i}(e^{i\theta} - e^{-i\theta})$

$-1$

$e^{-\pi/2}$ (approx 0.2079)

The arguments subtract: $\theta_1-\theta_2$