Express the following complex numbers in the form $z = r e^{\mathbf{i} heta}$ where $r \ge 0$, and

Question

Express the following complex numbers in the form $z = r e^{\mathbf{i}	heta}$ where $r \ge 0$, and $-\pi $3\mathrm{i}e^{-\mathbf{i}\pi}$ $-2e^{-\mathbf{i}\frac{\pi}{3}}$ $e^{1-\mathbf{i}\frac{\pi}{3}}$ $\left( \sqrt{3}-\mathbf{i} ight)e^{-\mathbf{i}\frac{\pi}{4}}$ $-2\left( 1+\sqrt{3}\mathbf{i} ight)e^{\mathbf{i}\frac{2\pi}{5}}$

Accepted Answer

(a) $ 3e^{-i\frac{\pi}{2}} $; (b) $ 2e^{i\frac{2\pi}{3}} $; (c) $ ee^{-i\frac{\pi}{3}} $; (d) $ 2e^{-i\frac{5\pi}{12}} $; (e) $ 4e^{-i\frac{4\pi}{15}} $

Forms of Complex Numbers Q8

Forms of Complex Numbers Q8

Video Solution:

Solution:

Solution locked