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 four hundred eighty million three hundred sixty-two thousand three hundred seventy-two

Interesting facts

  • 480362372 has 32 divisors, whose sum is 1261502208
  • The reverse of 480362372 is 273263084
  • Previous prime number is 7

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 35
  • Digital Root 8

Name

Name two billion one hundred twenty-nine million two hundred thirty-seven thousand three hundred sixty-two

Interesting facts

  • 2129237362 has 16 divisors, whose sum is 3775988160
  • The reverse of 2129237362 is 2637329212
  • Previous prime number is 29

Basic properties

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

Name

Name one billion three hundred fifty-five million two hundred forty thousand seven hundred forty-two

Interesting facts

  • 1355240742 has 8 divisors, whose sum is 2710481496
  • The reverse of 1355240742 is 2470425531
  • Previous prime number is 3

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 33
  • Digital Root 6