Solve for x in Radians csc(x)=- square root of 2

Solve for x in Radians csc(x)=- square root of 2
Take the inverse cosecant of both sides of the equation to extract from inside the cosecant.
Simplify the right side.
The exact value of is .
The cosecant function is negative in the third and fourth quadrants. To find the second solution, subtract the solution from , to find a reference angle. Next, add this reference angle to to find the solution in the third quadrant.
Simplify the expression to find the second solution.
Subtract from .
The resulting angle of is positive, less than , and coterminal with .
Find the period of .
The period of the function can be calculated using .
Replace with in the formula for period.
The absolute value is the distance between a number and zero. The distance between and is .
Divide by .
Add to every negative angle to get positive angles.
Add to to find the positive angle.
To write as a fraction with a common denominator, multiply by .
Combine fractions.
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Subtract from .
List the new angles.
The period of the function is so values will repeat every radians in both directions.
, for any integer
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Name

Name two billion sixty-five million four hundred ten thousand five hundred seventy-three

Interesting facts

• 2065410573 has 8 divisors, whose sum is 2754120000
• The reverse of 2065410573 is 3750145602
• Previous prime number is 15559

Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 33
• Digital Root 6

Name

Name one billion one hundred thirty-six million seven hundred sixteen thousand seven hundred forty-five

Interesting facts

• 1136716745 has 8 divisors, whose sum is 1383272640
• The reverse of 1136716745 is 5476176311
• Previous prime number is 71

Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 41
• Digital Root 5

Name

Name one billion six hundred thirty million five hundred twenty-five thousand ninety-two

Interesting facts

• 1630525092 has 32 divisors, whose sum is 3852636480
• The reverse of 1630525092 is 2905250361
• Previous prime number is 419

Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 33
• Digital Root 6