Question

Please Help!!

Write in exponential form.

Answer 1

c.

`5{e}^{i (5\pi)/(3) }`

Step-by-step 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( (5\pi)/(3) + i \sin( (5\pi)/(3)) )`

We have r=5 from the question and

`\theta = (5\pi)/(3)`

We substitute these values to obtain the exponential form:

`z =5{e}^{i (5\pi)/(3) }`

The correct answer is C