Please Help!! Write in exponential form.

Mathematics

1 answer:

Nimfa-mama [501]4 years ago

8 0

Answer:

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

Step-by-step explanation:

Euler's formula:

$e^{ix}=\cos{x}+i\sin{x}$

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

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

Which is C.

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