Question

1. compute the modulus and argument of each complex number. (4 points)

a. $-5i$
b. $sqrt{10}\left(\cos\left(\frac{5\pi}{7}\
ight)+i\sin\left(\frac{5\pi}{7}\
ight)\
ight)$

Explanation:

Answer:

a. Modulus: $5$, Argument: $-\frac{\pi}{2}$ (or $\frac{3\pi}{2}$)
b. Modulus: $\sqrt{10}$, Argument: $\frac{5\pi}{7}$