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.
Tap for more steps...
Cancel the common factor of .
Tap for more steps...
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
Tap for more steps...
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.
Tap for more steps...
Multiply both sides of the equation by .
Simplify both sides of the equation.
Tap for more steps...
Cancel the common factor of .
Tap for more steps...
Cancel the common factor.
Rewrite the expression.
Simplify .
Tap for more steps...
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 .
Tap for more steps...
Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Tap for more steps...
Move to the left of .
Subtract from .
Cancel the common factor of .
Tap for more steps...
Factor out of .
Cancel the common factor.
Rewrite the expression.
Find the period.
Tap for more steps...
The period of the function can be calculated using .
Replace with in the formula for period.
Solve the equation.
Tap for more steps...
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
Do you know how to Solve for ? sin(x/2)=1/2? 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

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