Solve for x in Radians sin(1/4x)=0

Solve for x in Radians sin(1/4x)=0
Take the inverse sine of both sides of the equation to extract from inside the sine.
Simplify the left side.
Combine and .
Simplify the right side.
The exact value of is .
Set the numerator equal to zero.
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.
Solve for .
Multiply both sides of the equation by .
Simplify both sides of the equation.
Simplify the left side.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Simplify the right side.
Subtract from .
Find the period of .
The period of the function can be calculated using .
Replace with in the formula for period.
is approximately which is positive so remove the absolute value
Multiply the numerator by the reciprocal of the denominator.
Multiply by .
The period of the function is so values will repeat every radians in both directions.
, for any integer
, for any integer
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Name

Name one billion two hundred forty-six million nine hundred ten thousand seven hundred sixty-four

Interesting facts

• 1246910764 has 64 divisors, whose sum is 3253206240
• The reverse of 1246910764 is 4670196421
• Previous prime number is 269

Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 40
• Digital Root 4

Name

Name one billion two hundred forty-nine million nine hundred eighteen thousand seven hundred thirty-six

Interesting facts

• 1249918736 has 64 divisors, whose sum is 6902961264
• The reverse of 1249918736 is 6378199421
• Previous prime number is 11

Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 50
• Digital Root 5

Name

Name one billion seven hundred fifty-three million four hundred eighty-five thousand eight hundred seventy-eight

Interesting facts

• 1753485878 has 16 divisors, whose sum is 2660794080
• The reverse of 1753485878 is 8785843571
• Previous prime number is 10903

Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 56
• Digital Root 2