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 five hundred seventy million six hundred eighty-seven thousand two hundred twelve

Interesting facts

  • 570687212 has 32 divisors, whose sum is 1364056848
  • The reverse of 570687212 is 212786075
  • Previous prime number is 307

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 38
  • Digital Root 2

Name

Name seven hundred twenty-seven million eight hundred fifty-seven thousand four hundred seventy-four

Interesting facts

  • 727857474 has 16 divisors, whose sum is 1489569312
  • The reverse of 727857474 is 474758727
  • Previous prime number is 43

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 51
  • Digital Root 6

Name

Name one billion seven hundred sixty-one million four hundred eighteen thousand six hundred twenty

Interesting facts

  • 1761418620 has 64 divisors, whose sum is 5155254720
  • The reverse of 1761418620 is 0268141671
  • Previous prime number is 13

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 36
  • Digital Root 9