# Trigonometry Examples

Reorder and .

This is the trigonometric form of a complex number where is the modulus and is the angle created on the complex plane.

The modulus of a complex number is the distance from the origin on the complex plane.

where

Substitute the actual values of and .

One to any power is one.

Raise to the power of .

Add and .

The angle of the point on the complex plane is the inverse tangent of the complex portion over the real portion.

Since inverse tangent of produces an angle in the second quadrant, the value of the angle is .

Substitute the values of and .