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 two billion ninety-two million three hundred eighty-six thousand four hundred eighty-two

Interesting facts

  • 2092386482 has 16 divisors, whose sum is 3334561560
  • The reverse of 2092386482 is 2846832902
  • Previous prime number is 37

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 44
  • Digital Root 8

Name

Name one billion forty-nine million thirty-seven thousand two hundred ninety-seven

Interesting facts

  • 1049037297 has 8 divisors, whose sum is 1416881856
  • The reverse of 1049037297 is 7927309401
  • Previous prime number is 77

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 42
  • Digital Root 6

Name

Name two billion fifty-nine million six hundred fifty-nine thousand three hundred fifty-two

Interesting facts

  • 2059659352 has 32 divisors, whose sum is 6967490400
  • The reverse of 2059659352 is 2539569502
  • Previous prime number is 431

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 46
  • Digital Root 1