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 | five million one hundred ninety-eight thousand eight hundred thirty-five |
---|

- 5198835 has 4 divisors, whose sum is
**5545440** - The reverse of 5198835 is
**5388915** - Previous prime number is
**15**

- Is Prime? no
- Number parity odd
- Number length 7
- Sum of Digits 39
- Digital Root 3

Name | one billion nine hundred forty-five million nine hundred ninety-three thousand nine hundred ninety |
---|

- 1945993990 has 8 divisors, whose sum is
**3502789200** - The reverse of 1945993990 is
**0993995491** - Previous prime number is
**5**

- Is Prime? no
- Number parity even
- Number length 10
- Sum of Digits 58
- Digital Root 4

Name | eight hundred eighty-four million seventy-eight thousand eight hundred fifty-eight |
---|

- 884078858 has 16 divisors, whose sum is
**1431636360** - The reverse of 884078858 is
**858870488** - Previous prime number is
**409**

- Is Prime? no
- Number parity even
- Number length 9
- Sum of Digits 56
- Digital Root 2