Question

Please Help!! Write in exponential form.

Answer 1

ANSWER

c.

$5{e}^{i \frac{5\pi}{3} }$

EXPLANATION

The exponential form of complex numbers is given by;

$z =r {e}^{i \theta}$

The given complex number in polar form is:

$5( \cos( \frac{5\pi}{3} + i \sin( \frac{5\pi}{3}) )$

We have r=5 from the question and

$\theta = \frac{5\pi}{3}$

We substitute these values to obtain the exponential form:

$z =5{e}^{i \frac{5\pi}{3} }$

The correct answer is C