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

Evaluate <math><mstyle displaystyle="true"><mi>arcsin</mi><mrow><mo>(</mo><mn>0.5</mn><mo>)</mo></mrow></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"><mn>180</mn></mstyle></math> to find the solution in the second quadrant.

Subtract <math><mstyle displaystyle="true"><mn>30</mn></mstyle></math> from <math><mstyle displaystyle="true"><mn>180</mn></mstyle></math> .

The period of the function can be calculated using <math><mstyle displaystyle="true"><mfrac><mrow><mn>360</mn></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.

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>360</mn></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>a</mi><mo>)</mo></mrow></mstyle></math> function is <math><mstyle displaystyle="true"><mn>360</mn></mstyle></math> so values will repeat every <math><mstyle displaystyle="true"><mn>360</mn></mstyle></math> degrees in both directions.

Do you know how to Solve for a in Degrees sin(a)=0.5? 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 hundred twenty-one million eight hundred seventy thousand three hundred seventy-six |
---|

- 521870376 has 32 divisors, whose sum is
**2348416800** - The reverse of 521870376 is
**673078125** - Previous prime number is
**3**

- Is Prime? no
- Number parity even
- Number length 9
- Sum of Digits 39
- Digital Root 3

Name | one billion five hundred eighty-two million two hundred eighty-one thousand five hundred sixty-one |
---|

- 1582281561 has 16 divisors, whose sum is
**2413016064** - The reverse of 1582281561 is
**1651822851** - Previous prime number is
**1283**

- Is Prime? no
- Number parity odd
- Number length 10
- Sum of Digits 39
- Digital Root 3

Name | one billion one hundred three million two hundred thirteen thousand sixty |
---|

- 1103213060 has 64 divisors, whose sum is
**3041283024** - The reverse of 1103213060 is
**0603123011** - Previous prime number is
**233**

- Is Prime? no
- Number parity even
- Number length 10
- Sum of Digits 17
- Digital Root 8