# Solve for ? sin(x)=( square root of 3)/2

Solve for ? sin(x)=( square root of 3)/2
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 one billion three hundred eighty-three million four hundred thirty-eight thousand five hundred sixty-one

### Interesting facts

• 1383438561 has 16 divisors, whose sum is 1892173824
• The reverse of 1383438561 is 1658343831
• Previous prime number is 227

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 42
• Digital Root 6

### Name

Name one billion nine hundred ninety-one million one hundred seventeen thousand two hundred fifty-two

### Interesting facts

• 1991117252 has 16 divisors, whose sum is 4482669060
• The reverse of 1991117252 is 2527111991
• Previous prime number is 1697

### Basic properties

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

### Name

Name one billion two hundred twelve million ninety-one thousand six hundred fifty-three

### Interesting facts

• 1212091653 has 16 divisors, whose sum is 1722098880
• The reverse of 1212091653 is 3561902121
• Previous prime number is 157

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 30
• Digital Root 3