Answer:
C, [tex]5e^{i(5\pi/3)[/tex]
Step-by-step explanation:
Euler's formula:
[tex]e^{ix}=\cos{x}+i\sin{x}[/tex]
Looking at the expression in the parentheses, your x is explicitly given to you as [tex]5\pi/3[/tex], so using Euler's formula:
[tex]5\left(\cos\frac{5\pi}{3}+i\sin{\frac{5\pi}{3} })=5e^{i(5\pi/3)[/tex]
Which is C.
