# Convert to Trigonometric Form i to the power of twenty minus two

Factor out .

Rewrite as .

Rewrite as .

Rewrite as .

Raise to the power of .

One raised to any power equals one.

First, multiply by .

Rewrite as .

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 .

Raising to any positive power yields .

Raise to the power of .

Sum and .

Any root of is .

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 .

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