Question

Find the principal value of argument of -2 -2i

Answer 1

Answer:

$\alpha = \frac{\pi}{4} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \beta = - \frac{3\pi}{4}$

Step-by-step explanation:

$\alpha = 45 \\ \\ \beta = 45 - \pi = \frac{\pi}{4} - \pi \\ \\ \beta = - \frac{3\pi}{4} \\ \\ \\ \\ \alpha = \frac{\pi}{4} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \beta = - \frac{3\pi}{4}$