Write in polar form

106 Views Asked by At

I've been giving the the following: $$z = -3e^{-i\pi/5}$$

How do I write that in polar form?

I understand that -3 is not correct, since the absolute distance must be $\ge 0$.

What do I need to do to solve it? Should I try to write it in rectangular form?

The answer is $z = 3e^{i4\pi/5}$

1

There are 1 best solutions below

0
On

$$ z = -3 e^{-i \pi/5} = 3(-1) e^{-i \pi/5} = 3 e^{i\pi} e^{-i \pi/5} = 3 e^{-i \pi/5 + i \pi} = 3 e^{i4\pi/5} $$