# Solve for ? sin(x/2)=1/2

Solve for ? sin(x/2)=1/2
Take the inverse sine of both sides of the equation to extract from inside the sine.
The exact value of is .
Multiply both sides of the equation by .
Simplify both sides of the equation.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
The sine function is positive in the first and second quadrants. To find the second solution, subtract the reference angle from to find the solution in the second quadrant.
Simplify the expression to find the second solution.
Multiply both sides of the equation by .
Simplify both sides of the equation.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Simplify .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Move to the left of .
Subtract from .
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Find the period.
The period of the function can be calculated using .
Replace with in the formula for period.
Solve the equation.
is approximately which is positive so remove the absolute value
Multiply the numerator by the reciprocal of the denominator.
Multiply by .
The period of the function is so values will repeat every radians in both directions.
, for any integer
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### Name

Name nine hundred twenty-two million five hundred thirty-four thousand four hundred thirty-nine

### Interesting facts

• 922534439 has 8 divisors, whose sum is 963663360
• The reverse of 922534439 is 934435229
• Previous prime number is 967

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 41
• Digital Root 5

### Name

Name one billion eight hundred ninety million six hundred ninety-three thousand four hundred thirty-eight

### Interesting facts

• 1890693438 has 8 divisors, whose sum is 3781386888
• The reverse of 1890693438 is 8343960981
• Previous prime number is 3

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 51
• Digital Root 6

### Name

Name one billion two hundred fifty-one million two hundred nineteen thousand three hundred eighteen

### Interesting facts

• 1251219318 has 8 divisors, whose sum is 2502438648
• The reverse of 1251219318 is 8139121521
• Previous prime number is 3

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 33
• Digital Root 6