Solve for x sin(x-1)=0

Solve for x sin(x-1)=0
Take the inverse sine of both sides of the equation to extract from inside the sine.
The exact value of is .
Add to both sides of the equation.
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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Subtract from .
Add to both sides of the equation.
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
Consolidate and to .
, for any integer
Verify each of the solutions by substituting them into and solving.
, for any integer
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Name

Name one billion one hundred ninety-two million six hundred seventy-two thousand two hundred seventeen

Interesting facts

  • 1192672217 has 8 divisors, whose sum is 1302413952
  • The reverse of 1192672217 is 7122762911
  • Previous prime number is 997

Basic properties

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

Name

Name five hundred three million one hundred ninety thousand one hundred thirty-one

Interesting facts

  • 503190131 has 8 divisors, whose sum is 515725824
  • The reverse of 503190131 is 131091305
  • Previous prime number is 47

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 23
  • Digital Root 5

Name

Name seven hundred thirty-seven million three hundred sixteen thousand eight hundred twenty-six

Interesting facts

  • 737316826 has 8 divisors, whose sum is 1171032660
  • The reverse of 737316826 is 628613737
  • Previous prime number is 17

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 43
  • Digital Root 7