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><mi>sin</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mi>cos</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mstyle></math> and <math><mstyle displaystyle="true"><mi>b</mi><mo>=</mo><mn>0</mn></mstyle></math> .

Simplify the expression.

Raising <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> to any positive power yields <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> .

Add <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> and <math><mstyle displaystyle="true"><mi>sin</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><msup><mi>cos</mi><mrow><mn>2</mn></mrow></msup><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mstyle></math> .

Reorder <math><mstyle displaystyle="true"><mi>sin</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mstyle></math> and <math><mstyle displaystyle="true"><msup><mi>cos</mi><mrow><mn>2</mn></mrow></msup><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mstyle></math> .

Pull terms out from under the radical.

The angle of the point on the complex plane is the inverse tangent of the complex portion over the real portion.

Substitute the values of <math><mstyle displaystyle="true"><mi>θ</mi><mo>=</mo><mi>arctan</mi><mrow><mo>(</mo><mfrac><mrow><mn>0</mn></mrow><mrow><mi>sin</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mi>cos</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></mfrac><mo>)</mo></mrow></mstyle></math> and <math><mstyle displaystyle="true"><mrow><mo>|</mo><mi>z</mi><mo>|</mo></mrow><mo>=</mo><mi>cos</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><msqrt><mi>sin</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></msqrt></mstyle></math> .

Do you know how to Convert to Trigonometric Form sin(x)cos(x)? 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 | sixteen million two hundred seventy-seven thousand nine hundred seventy-eight |
---|

- 16277978 has 8 divisors, whose sum is
**24751668** - The reverse of 16277978 is
**87977261** - Previous prime number is
**73**

- Is Prime? no
- Number parity even
- Number length 8
- Sum of Digits 47
- Digital Root 2

Name | one billion two hundred ninety-four million eight hundred sixty-eight thousand |
---|

- 1294868000 has 256 divisors, whose sum is
**12271501944** - The reverse of 1294868000 is
**0008684921** - Previous prime number is
**25**

- Is Prime? no
- Number parity even
- Number length 10
- Sum of Digits 38
- Digital Root 2

Name | nine hundred ninety-five million eighty thousand ninety |
---|

- 995080090 has 16 divisors, whose sum is
**1798835688** - The reverse of 995080090 is
**090080599** - Previous prime number is
**233**

- Is Prime? no
- Number parity even
- Number length 9
- Sum of Digits 40
- Digital Root 4