Solve for ? sin(3x)=1

Solve for ? sin(3x)=1
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 .
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.
The absolute value is the distance between a number and zero. The distance between and is .
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 four hundred ninety-six million five hundred thirty-four thousand five hundred sixteen

Interesting facts

  • 1496534516 has 8 divisors, whose sum is 3367202670
  • The reverse of 1496534516 is 6154356941
  • Previous prime number is 2

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 44
  • Digital Root 8

Name

Name one billion eighteen million four hundred twenty-eight thousand two hundred forty-eight

Interesting facts

  • 1018428248 has 64 divisors, whose sum is 3675466368
  • The reverse of 1018428248 is 8428248101
  • Previous prime number is 101

Basic properties

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

Name

Name six hundred seventy million four hundred twenty thousand two hundred twenty-nine

Interesting facts

  • 670420229 has 4 divisors, whose sum is 692046720
  • The reverse of 670420229 is 922024076
  • Previous prime number is 31

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 32
  • Digital Root 5