Take the inverse sine of both sides of the equation to extract <math><mstyle displaystyle="true"><mi>x</mi></mstyle></math> from inside the sine.

The exact value of <math><mstyle displaystyle="true"><mi>arcsin</mi><mrow><mo>(</mo><mn>0</mn><mo>)</mo></mrow></mstyle></math> is <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> .

The sine function is positive in the first and second quadrants. To find the second solution, subtract the reference angle from <math><mstyle displaystyle="true"><mi>π</mi></mstyle></math> to find the solution in the second quadrant.

Subtract <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> from <math><mstyle displaystyle="true"><mi>π</mi></mstyle></math> .

The period of the function can be calculated using <math><mstyle displaystyle="true"><mfrac><mrow><mn>2</mn><mi>π</mi></mrow><mrow><mrow><mo>|</mo><mi>b</mi><mo>|</mo></mrow></mrow></mfrac></mstyle></math> .

Replace <math><mstyle displaystyle="true"><mi>b</mi></mstyle></math> with <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> in the formula for period.

Solve the equation.

The absolute value is the distance between a number and zero. The distance between <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> and <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> is <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

Divide <math><mstyle displaystyle="true"><mn>2</mn><mi>π</mi></mstyle></math> by <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

The period of the <math><mstyle displaystyle="true"><mi>sin</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mstyle></math> function is <math><mstyle displaystyle="true"><mn>2</mn><mi>π</mi></mstyle></math> so values will repeat every <math><mstyle displaystyle="true"><mn>2</mn><mi>π</mi></mstyle></math> radians in both directions.

Consolidate the answers.

Do you know how to Solve for ? sin(x)=0? 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 seven hundred twenty-nine million four hundred seventy-eight thousand eight hundred fifty-five |
---|

- 1729478855 has 16 divisors, whose sum is
**2236762080** - The reverse of 1729478855 is
**5588749271** - Previous prime number is
**1373**

- Is Prime? no
- Number parity odd
- Number length 10
- Sum of Digits 56
- Digital Root 2

Name | fifty million six hundred eighty-seven thousand nine hundred ninety-one |
---|

- 50687991 has 8 divisors, whose sum is
**55332480** - The reverse of 50687991 is
**19978605** - Previous prime number is
**19**

- Is Prime? no
- Number parity odd
- Number length 8
- Sum of Digits 45
- Digital Root 9

Name | one hundred fifty-eight million eight hundred seventy-seven thousand four hundred sixteen |
---|

- 158877416 has 16 divisors, whose sum is
**536211306** - The reverse of 158877416 is
**614778851** - Previous prime number is
**2**

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