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.
Subtract from .
Add to both sides of the equation.
Find the period.
The period of the function can be calculated using .
Replace with in the formula for period.
Solve the equation.
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 seven hundred sixteen million three thousand four hundred

Interesting facts

• 1716003400 has 128 divisors, whose sum is 8345825280
• The reverse of 1716003400 is 0043006171
• Previous prime number is 2063

Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 22
• Digital Root 4

Name

Name one billion three hundred seventeen million four hundred fifty-four thousand eight hundred fifty-one

Interesting facts

• 1317454851 has 16 divisors, whose sum is 1849968000
• The reverse of 1317454851 is 1584547131
• Previous prime number is 2657

Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 39
• Digital Root 3

Name

Name one billion eight hundred fourteen million six hundred seventy-one thousand two hundred seventy-seven

Interesting facts

• 1814671277 has 4 divisors, whose sum is 1815271836
• The reverse of 1814671277 is 7721764181
• Previous prime number is 3037

Basic properties

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