Solve for ? sin(x)=( square root of 3)/2

Solve for ? sin(x)=( square root of 3)/2
Take the inverse sine of both sides of the equation to extract from inside the sine.
The exact value of is .
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 .
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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 .
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Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
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Move to the left of .
Subtract from .
Find the period.
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The period of the function can be calculated using .
Replace with in the formula for period.
Solve the equation.
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The absolute value is the distance between a number and zero. The distance between and is .
Divide 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 one billion three hundred eighty-three million four hundred thirty-eight thousand five hundred sixty-one

Interesting facts

  • 1383438561 has 16 divisors, whose sum is 1892173824
  • The reverse of 1383438561 is 1658343831
  • Previous prime number is 227

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 42
  • Digital Root 6

Name

Name one billion nine hundred ninety-one million one hundred seventeen thousand two hundred fifty-two

Interesting facts

  • 1991117252 has 16 divisors, whose sum is 4482669060
  • The reverse of 1991117252 is 2527111991
  • Previous prime number is 1697

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 38
  • Digital Root 2

Name

Name one billion two hundred twelve million ninety-one thousand six hundred fifty-three

Interesting facts

  • 1212091653 has 16 divisors, whose sum is 1722098880
  • The reverse of 1212091653 is 3561902121
  • Previous prime number is 157

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 30
  • Digital Root 3