# Solve for ? sin(x)=1

Solve for ? sin(x)=1
Take the inverse sine of both sides of the equation to extract from inside the sine.
The exact value of is .
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 .
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 .
Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Move to the left of .
Subtract from .
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
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### Name

Name four hundred twenty-four million three hundred six thousand eight hundred ten

### Interesting facts

• 424306810 has 16 divisors, whose sum is 769329576
• The reverse of 424306810 is 018603424
• Previous prime number is 137

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 28
• Digital Root 1

### Name

Name nine hundred ninety-one million four hundred twenty-eight thousand six hundred ninety

### Interesting facts

• 991428690 has 16 divisors, whose sum is 1566393048
• The reverse of 991428690 is 096824199
• Previous prime number is 185

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 48
• Digital Root 3

### Name

Name four hundred thirty-one million two hundred forty-seven thousand four hundred twenty-one

### Interesting facts

• 431247421 has 4 divisors, whose sum is 470451744
• The reverse of 431247421 is 124742134
• Previous prime number is 11

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 28
• Digital Root 1