This is the trigonometric form of a complex number where <math><mstyle displaystyle="true"><mrow><mo>|</mo><mi>z</mi><mo>|</mo></mrow></mstyle></math> is the modulus and <math><mstyle displaystyle="true"><mi>θ</mi></mstyle></math> is the angle created on the complex plane.

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

Substitute the actual values of <math><mstyle displaystyle="true"><mi>a</mi><mo>=</mo><mn>0</mn></mstyle></math> and <math><mstyle displaystyle="true"><mi>b</mi><mo>=</mo><mo>-</mo><mn>8</mn></mstyle></math> .

Raise <math><mstyle displaystyle="true"><mo>-</mo><mn>8</mn></mstyle></math> to the power of <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> .

Rewrite <math><mstyle displaystyle="true"><mn>64</mn></mstyle></math> as <math><mstyle displaystyle="true"><msup><mrow><mn>8</mn></mrow><mrow><mn>2</mn></mrow></msup></mstyle></math> .

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 the argument is undefined and <math><mstyle displaystyle="true"><mi>b</mi></mstyle></math> is negative, the angle of the point on the complex plane is <math><mstyle displaystyle="true"><mfrac><mrow><mn>3</mn><mi>π</mi></mrow><mrow><mn>2</mn></mrow></mfrac></mstyle></math> .

Substitute the values of <math><mstyle displaystyle="true"><mi>θ</mi><mo>=</mo><mfrac><mrow><mn>3</mn><mi>π</mi></mrow><mrow><mn>2</mn></mrow></mfrac></mstyle></math> and <math><mstyle displaystyle="true"><mrow><mo>|</mo><mi>z</mi><mo>|</mo></mrow><mo>=</mo><mn>8</mn></mstyle></math> .

Do you know how to Convert to Trigonometric Form -8i? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

Name | one billion one hundred ninety-one million seventeen thousand nine hundred thirty-nine |
---|

- 1191017939 has 4 divisors, whose sum is
**1191199224** - The reverse of 1191017939 is
**9397101911** - Previous prime number is
**6827**

- Is Prime? no
- Number parity odd
- Number length 10
- Sum of Digits 41
- Digital Root 5

Name | two billion sixty-one million three hundred seventy-seven thousand eight hundred seventy-six |
---|

- 2061377876 has 16 divisors, whose sum is
**4642218540** - The reverse of 2061377876 is
**6787731602** - Previous prime number is
**1129**

- Is Prime? no
- Number parity even
- Number length 10
- Sum of Digits 47
- Digital Root 2

Name | one billion five hundred sixty-two million six hundred five thousand five hundred fifty-seven |
---|

- 1562605557 has 8 divisors, whose sum is
**2114570976** - The reverse of 1562605557 is
**7555062651** - Previous prime number is
**67**

- Is Prime? no
- Number parity odd
- Number length 10
- Sum of Digits 42
- Digital Root 6