Question

What is the polar form of -3+sqrt3i

Answer 1

The answer is D!!

Explanation:

Right on edg 2022

Answer 2

For this case we have the following number given:

`-3+\sqrt[]{3}i`

We can see that x = -3 and y = - sqrt(3)

The angle is given by:

`\arctan (\frac{-\sqrt[]{3}}{3})=-30=-(\pi)/(6)`

The radius would be:

`r=\sqrt[]{(3)^2+(-\sqrt[]{3})^2}=\sqrt[]{12}`

And the polar form would be given by:

`z=\sqrt[]{12}(\cos (-(\pi)/(6))+i\sin (-(\pi)/(6)))\text{ }`