Chapter 8, Problem 6RCC

(a)

To determine

To find: The product $z_1{z}_2$ of the complex numbers $z_1=2\left(\cos \frac{\pi }{3}+i\sin \frac{\pi }{3}\right)$ and $z_2=5\left(\cos \frac{\pi }{4}+i\sin \frac{\pi }{4}\right)$.

(b)

To determine

To find: The quotient $\frac{z_1}{z_2}$ of the complex numbers $z_1=2\left(\cos \frac{\pi }{3}+i\sin \frac{\pi }{3}\right)$ and $z_2=5\left(\cos \frac{\pi }{4}+i\sin \frac{\pi }{4}\right)$.