# Solve for θ in Degrees csc(theta)=-(2 square root of 3)/3

Solve for θ in Degrees csc(theta)=-(2 square root of 3)/3
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.
Subtract from .
List the new angles.
The period of the function is so values will repeat every degrees in both directions.
, for any integer
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### Name

Name seven hundred eighty-seven million two hundred forty-one thousand five hundred thirty-four

### Interesting facts

• 787241534 has 8 divisors, whose sum is 1182166968
• The reverse of 787241534 is 435142787
• Previous prime number is 907

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 41
• Digital Root 5

### Name

Name one billion one hundred thirteen million one hundred four thousand seven hundred ten

### Interesting facts

• 1113104710 has 16 divisors, whose sum is 2005256736
• The reverse of 1113104710 is 0174013111
• Previous prime number is 1217

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 19
• Digital Root 1

### Name

Name one billion two million five hundred fourteen thousand seven hundred eleven

### Interesting facts

• 1002514711 has 16 divisors, whose sum is 1104048000
• The reverse of 1002514711 is 1174152001
• Previous prime number is 373

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 22
• Digital Root 4