Find All Complex Number Solutions z=3-4i
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 .
Raise to the power of .
Raise to the power of .
Add and .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
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 fourth quadrant, the value of the angle is .
Substitute the values of and .
Replace the right side of the equation with the trigonometric form.
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Name
| Name | one billion three hundred ninety-six million six hundred one thousand eight hundred fifteen |
|---|
Interesting facts
- 1396601815 has 16 divisors, whose sum is 1478424960
- The reverse of 1396601815 is 5181066931
- Previous prime number is 1579
Basic properties
- Is Prime? no
- Number parity odd
- Number length 10
- Sum of Digits 40
- Digital Root 4
Name
| Name | one billion six hundred eighty-one million nine hundred thirty-three thousand six hundred fifty-eight |
|---|
Interesting facts
- 1681933658 has 8 divisors, whose sum is 2671306452
- The reverse of 1681933658 is 8563391861
- Previous prime number is 17
Basic properties
- Is Prime? no
- Number parity even
- Number length 10
- Sum of Digits 50
- Digital Root 5
Name
| Name | one billion three hundred eleven million three hundred twenty-three thousand six hundred fifty-eight |
|---|
Interesting facts
- 1311323658 has 8 divisors, whose sum is 2622647328
- The reverse of 1311323658 is 8563231131
- Previous prime number is 3
Basic properties
- Is Prime? no
- Number parity even
- Number length 10
- Sum of Digits 33
- Digital Root 6