Convert to Trigonometric Form i^22

Convert to Trigonometric Form i^22
Rewrite as .
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Factor out .
Rewrite as .
Rewrite as .
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Rewrite as .
Rewrite as .
Raise to the power of .
One to any power is one.
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 .
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Raising to any positive power yields .
Raise to the power of .
Add 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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Name

Name one billion five hundred eighty-six million six hundred seventy-four thousand seven hundred forty-three

Interesting facts

  • 1586674743 has 8 divisors, whose sum is 2226912000
  • The reverse of 1586674743 is 3474766851
  • Previous prime number is 19

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 51
  • Digital Root 6

Name

Name four hundred twenty-eight million two hundred thirty-two thousand seven hundred ninety-two

Interesting facts

  • 428232792 has 256 divisors, whose sum is 2189799360
  • The reverse of 428232792 is 297232824
  • Previous prime number is 13

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 39
  • Digital Root 3

Name

Name one billion five hundred eighty-one million six hundred fourteen thousand six hundred eight

Interesting facts

  • 1581614608 has 128 divisors, whose sum is 9164803968
  • The reverse of 1581614608 is 8064161851
  • Previous prime number is 673

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 40
  • Digital Root 4