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 | nine hundred seventy-one million five hundred eighty-nine thousand thirty-five |
---|

- 971589035 has 8 divisors, whose sum is
**1227270480** - The reverse of 971589035 is
**530985179** - Previous prime number is
**19**

- Is Prime? no
- Number parity odd
- Number length 9
- Sum of Digits 47
- Digital Root 2

Name | one billion four hundred twenty-two million four hundred three thousand nine hundred fifty-five |
---|

- 1422403955 has 8 divisors, whose sum is
**1950725472** - The reverse of 1422403955 is
**5593042241** - Previous prime number is
**5**

- Is Prime? no
- Number parity odd
- Number length 10
- Sum of Digits 35
- Digital Root 8

Name | one billion two hundred sixty-eight million eight hundred seventy-nine thousand nine hundred thirteen |
---|

- 1268879913 has 16 divisors, whose sum is
**1612840320** - The reverse of 1268879913 is
**3199788621** - Previous prime number is
**1091**

- Is Prime? no
- Number parity odd
- Number length 10
- Sum of Digits 54
- Digital Root 9