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

Solve for ? sin(2x)=1/2
Take the inverse sine of both sides of the equation to extract from inside the sine.
The exact value of is .
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Multiply .
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Multiply and .
Multiply by .
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.
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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.
Subtract from .
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Reorder and .
Subtract from .
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify .
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Multiply the numerator by the reciprocal of the denominator.
Multiply .
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Multiply and .
Multiply by .
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 .
Cancel the common factor of .
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Cancel the common factor.
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 one hundred twenty-five million nine hundred eighty thousand six hundred fifty-six

Interesting facts

  • 1125980656 has 128 divisors, whose sum is 5829095664
  • The reverse of 1125980656 is 6560895211
  • Previous prime number is 97

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 43
  • Digital Root 7

Name

Name four hundred ninety-seven million nine hundred sixty-one thousand nine hundred four

Interesting facts

  • 497961904 has 64 divisors, whose sum is 2750108760
  • The reverse of 497961904 is 409169794
  • Previous prime number is 11

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 49
  • Digital Root 4

Name

Name one billion twenty-six million six hundred fifty-nine thousand three hundred five

Interesting facts

  • 1026659305 has 16 divisors, whose sum is 1206609408
  • The reverse of 1026659305 is 5039566201
  • Previous prime number is 145

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 37
  • Digital Root 1