131k views
1 vote
Please Help!!

Write in exponential form.

Please Help!! Write in exponential form.-example-1

1 Answer

4 votes

Answer:

C,
5e^{i(5\pi/3)

Explanation:

Euler's formula:


e^(ix)=cos(x)+isin(x)

Looking at the expression in the parentheses, your x is explicitly given to you as
5\pi/3, so using Euler's formula:


5\left(\cos(5\pi)/(3)+i\sin{(5\pi)/(3) })=5e^{i(5\pi/3)

Which is C.

User LaszloLadanyi
by
7.7k points