Solve for θ in Degrees 4csc(theta)+6=-2

Solve for θ in Degrees 4csc(theta)+6=-2
Move all terms not containing to the right side of the equation.
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Subtract from both sides of the equation.
Subtract from .
Divide each term in by and simplify.
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Divide each term in by .
Simplify the left side.
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Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify the right side.
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Divide by .
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 one billion seven hundred forty million nine hundred thirty-eight thousand nine hundred forty-nine

Interesting facts

  • 1740938949 has 16 divisors, whose sum is 3096120832
  • The reverse of 1740938949 is 9498390471
  • Previous prime number is 2887

Basic properties

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

Name

Name one billion nine hundred forty-five million forty-seven thousand seven hundred ninety-six

Interesting facts

  • 1945047796 has 16 divisors, whose sum is 4397100480
  • The reverse of 1945047796 is 6977405491
  • Previous prime number is 211

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 52
  • Digital Root 7

Name

Name eight hundred sixty-three million two hundred fifty-three thousand nine hundred fifteen

Interesting facts

  • 863253915 has 8 divisors, whose sum is 1381206288
  • The reverse of 863253915 is 519352368
  • Previous prime number is 5

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 42
  • Digital Root 6