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

Convert to Trigonometric Form i^22
Should be rewritten as .
Tap for more steps...
Factor out .
Rewrite as .
Rewrite as .
Tap for more steps...
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 .
Find .
Tap for more steps...
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 .
Do you need help with solving Convert to Trigonometric Form i^22? We can help you. You can write to our math experts in our application. The best solution for you is above on this page.