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.
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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.
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Subtract from .
The resulting angle of is positive, less than , and coterminal with .
Find the period of .
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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.
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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