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 thirty-three million one hundred forty-one thousand four hundred sixty-five |
---|

- 533141465 has 4 divisors, whose sum is
**639769764** - The reverse of 533141465 is
**564141335** - Previous prime number is
**5**

- Is Prime? no
- Number parity odd
- Number length 9
- Sum of Digits 32
- Digital Root 5

Name | two hundred sixty-three million four hundred eighty-five thousand one hundred eighteen |
---|

- 263485118 has 16 divisors, whose sum is
**431627616** - The reverse of 263485118 is
**811584362** - Previous prime number is
**71**

- Is Prime? no
- Number parity even
- Number length 9
- Sum of Digits 38
- Digital Root 2

Name | one billion one hundred seventy-eight million five hundred ninety thousand nine hundred ninety-four |
---|

- 1178590994 has 16 divisors, whose sum is
**1789188480** - The reverse of 1178590994 is
**4990958711** - Previous prime number is
**281**

- Is Prime? no
- Number parity even
- Number length 10
- Sum of Digits 53
- Digital Root 8