Question

Represent the complex number z=3i in exponential form. ​

Answer 1

Answer:

z=−1−3i

r=(−1)2+(−3)2⇒r=2

θ=tan−1(−1−3)⇒θ=3π

Polar form z=r(cosθ+isinθ)=2(cos3π+isin3π)

Exponential form z=reiθ=2ei3π