Question

Convert the following complex number into its polar representation: 3i O A. -3(60597 +isin 37 O COS 2 2 O B. -3(cos+ i sin o) O C. 3(cos+ i sin ) O D. 3c052+isin 8

Answer 1

The correct option is D.

The value of r for the given complex number is calculated below:

`r=\sqrt[]{0^2+3^2}=\sqrt[]{9}=3`

now,

Since the complex number lies on the positive y-axis.

`\theta=(\pi)/(2)`

Therefore, the polar form of the given complex number is

`3(\cos (\pi)/(2)+i\sin (\pi)/(2))`