Solve for θ in Degrees 25csc(theta)^2-4=0

Solve for θ in Degrees 25csc(theta)^2-4=0
Add to both sides of the equation.
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 .
Take the square root of both sides of the equation to eliminate the exponent on the left side.
Simplify .
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Rewrite as .
Simplify the numerator.
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Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Simplify the denominator.
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Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
The complete solution is the result of both the positive and negative portions of the solution.
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First, use the positive value of the to find the first solution.
Next, use the negative value of the to find the second solution.
The complete solution is the result of both the positive and negative portions of the solution.
Set up each of the solutions to solve for .
Solve for in .
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The range of cosecant is and . Since does not fall in this range, there is no solution.
No solution
No solution
Solve for in .
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The range of cosecant is and . Since does not fall in this range, there is no solution.
No solution
No solution
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Name

Name two hundred twenty-three million three hundred four thousand one hundred thirty-seven

Interesting facts

  • 223304137 has 4 divisors, whose sum is 255204736
  • The reverse of 223304137 is 731403322
  • Previous prime number is 7

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 25
  • Digital Root 7

Name

Name thirty-one million seven hundred twenty-eight thousand eight

Interesting facts

  • 31728008 has 64 divisors, whose sum is 117790848
  • The reverse of 31728008 is 80082713
  • Previous prime number is 47

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 8
  • Sum of Digits 29
  • Digital Root 2

Name

Name one billion seven hundred forty-five million eight hundred six thousand three hundred five

Interesting facts

  • 1745806305 has 16 divisors, whose sum is 2852722944
  • The reverse of 1745806305 is 5036085471
  • Previous prime number is 47

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 39
  • Digital Root 3