Solve for x in Radians sin(3x)=-( square root of 3)/2

Solve for x in Radians sin(3x)=-( square root of 3)/2
Take the inverse sine of both sides of the equation to extract from inside the sine.
Simplify the right side.
Tap for more steps...
The exact value of is .
Divide each term in by and simplify.
Tap for more steps...
Divide each term in by .
Simplify the left side.
Tap for more steps...
Cancel the common factor of .
Tap for more steps...
Cancel the common factor.
Divide by .
Simplify the right side.
Tap for more steps...
Multiply the numerator by the reciprocal of the denominator.
Multiply .
Tap for more steps...
Multiply by .
Multiply by .
The sine function is negative in the third and fourth quadrants. To find the second solution, subtract the solution from , to find a reference angle. Next, add this reference angle to to find the solution in the third quadrant.
Simplify the expression to find the second solution.
Tap for more steps...
Subtract from .
The resulting angle of is positive, less than , and coterminal with .
Divide each term in by and simplify.
Tap for more steps...
Divide each term in by .
Simplify the left side.
Tap for more steps...
Cancel the common factor of .
Tap for more steps...
Cancel the common factor.
Divide by .
Simplify the right side.
Tap for more steps...
Multiply the numerator by the reciprocal of the denominator.
Multiply .
Tap for more steps...
Multiply by .
Multiply by .
Find the period of .
Tap for more steps...
The period of the function can be calculated using .
Replace with in the formula for period.
The absolute value is the distance between a number and zero. The distance between and is .
Add to every negative angle to get positive angles.
Tap for more steps...
Add to to find the positive angle.
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...
Multiply by .
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Tap for more steps...
Multiply by .
Subtract from .
List the new angles.
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 x in Radians sin(3x)=-( square root of 3)/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 five hundred ninety-nine million four hundred eight thousand two hundred twenty

Interesting facts

  • 599408220 has 16 divisors, whose sum is 1438579872
  • The reverse of 599408220 is 022804995
  • Previous prime number is 15

Basic properties

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

Name

Name four hundred fifty-five million eight hundred seven thousand nineteen

Interesting facts

  • 455807019 has 4 divisors, whose sum is 607742696
  • The reverse of 455807019 is 910708554
  • Previous prime number is 3

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 39
  • Digital Root 3

Name

Name seventy-three million one hundred thousand two hundred thirty-four

Interesting facts

  • 73100234 has 16 divisors, whose sum is 112860000
  • The reverse of 73100234 is 43200137
  • Previous prime number is 37

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 8
  • Sum of Digits 20
  • Digital Root 2