Find the Other Trig Values in Quadrant III sin(x)=-11/61

Find the Other Trig Values in Quadrant III sin(x)=-11/61
Use the definition of sine to find the known sides of the unit circle right triangle. The quadrant determines the sign on each of the values.
Find the adjacent side of the unit circle triangle. Since the hypotenuse and opposite sides are known, use the Pythagorean theorem to find the remaining side.
Replace the known values in the equation.
Simplify .
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Raise to the power of .
Adjacent
Raise to the power of .
Adjacent
Multiply by .
Adjacent
Subtract from .
Adjacent
Rewrite as .
Adjacent
Multiply.
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Pull terms out from under the radical, assuming positive real numbers.
Adjacent
Multiply by .
Adjacent
Adjacent
Adjacent
Find the value of cosine.
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Use the definition of cosine to find the value of .
Substitute in the known values.
Move the negative in front of the fraction.
Find the value of tangent.
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Use the definition of tangent to find the value of .
Substitute in the known values.
Dividing two negative values results in a positive value.
Find the value of cotangent.
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Use the definition of cotangent to find the value of .
Substitute in the known values.
Dividing two negative values results in a positive value.
Find the value of secant.
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Use the definition of secant to find the value of .
Substitute in the known values.
Move the negative in front of the fraction.
Find the value of cosecant.
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Use the definition of cosecant to find the value of .
Substitute in the known values.
Move the negative in front of the fraction.
This is the solution to each trig value.
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Name

Name one billion four hundred seventy-eight million two hundred seventy-one thousand nine hundred seventy-one

Interesting facts

  • 1478271971 has 8 divisors, whose sum is 1614615600
  • The reverse of 1478271971 is 1791728741
  • Previous prime number is 829

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 47
  • Digital Root 2

Name

Name one hundred seventy million two hundred five thousand five hundred fifty

Interesting facts

  • 170205550 has 32 divisors, whose sum is 377584416
  • The reverse of 170205550 is 055502071
  • Previous prime number is 37

Basic properties

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

Name

Name two hundred twelve million six hundred eleven thousand two hundred thirteen

Interesting facts

  • 212611213 has 4 divisors, whose sum is 218357500
  • The reverse of 212611213 is 312116212
  • Previous prime number is 37

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 19
  • Digital Root 1