Question

Plot the complex number in the complex plane and write it in polar form. Express the argument in degrees.

1 + i

Answer 1

Step 1:

The complex number is .

The rectangular coordinates corresponding to the is .

Graph:

Plot the complex plane.

The point is located at first quadrant.

Step 2:

The polar form of a complex number is .

Where, and

Here is the magnitude of the complex number and is argument of .

Compare the complex number with .

Magnitude .

Here, and .

Substitute and in polar form.

.

Solution:

Graph:

The polar for of the complex number is .