# Solve for x csc(x)=2

Solve for x csc(x)=2
Take the inverse cosecant of both sides of the equation to extract from inside the cosecant.
The exact value of is .
The cosecant 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 five hundred seventy-six million nine hundred eighty-seven thousand nine hundred eleven

### Interesting facts

• 1576987911 has 16 divisors, whose sum is 2140648704
• The reverse of 1576987911 is 1197896751
• Previous prime number is 67

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 54
• Digital Root 9

### Name

Name two hundred thirty million four hundred ninety-nine thousand eight hundred ninety-eight

### Interesting facts

• 230499898 has 8 divisors, whose sum is 346876992
• The reverse of 230499898 is 898994032
• Previous prime number is 307

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 52
• Digital Root 7

### Name

Name one billion three hundred forty-six million four hundred thirty-nine thousand forty-four

### Interesting facts

• 1346439044 has 32 divisors, whose sum is 3174374016
• The reverse of 1346439044 is 4409346431
• Previous prime number is 241

### Basic properties

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