# 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 four hundred eighty-nine million nine hundred ninety-four thousand one hundred fifty-nine

### Interesting facts

• 489994159 has 4 divisors, whose sum is 501389416
• The reverse of 489994159 is 951499984
• Previous prime number is 43

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 58
• Digital Root 4

### Name

Name six hundred fifty-five million two hundred nine thousand three hundred thirteen

### Interesting facts

• 655209313 has 8 divisors, whose sum is 662040320
• The reverse of 655209313 is 313902556
• Previous prime number is 487

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 34
• Digital Root 7

### Name

Name one hundred ninety-eight million eight hundred fifty thousand seven hundred thirty-eight

### Interesting facts

• 198850738 has 16 divisors, whose sum is 316091160
• The reverse of 198850738 is 837058891
• Previous prime number is 41

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 49
• Digital Root 4