Find the Trig Value cos(theta)=-3/5 , pi/2<theta<pi

Find the Trig Value cos(theta)=-3/5 , pi/2<theta<pi
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Use the definition of cosine to find the known sides of the unit circle right triangle. The quadrant determines the sign on each of the values.
Find the opposite side of the unit circle triangle. Since the adjacent side and hypotenuse are known, use the Pythagorean theorem to find the remaining side.
Replace the known values in the equation.
Simplify inside the radical.
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Raise to the power of .
Opposite
Raise to the power of .
Opposite
Multiply by .
Opposite
Subtract from .
Opposite
Rewrite as .
Opposite
Pull terms out from under the radical, assuming positive real numbers.
Opposite
Opposite
Find the value of sine.
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Use the definition of sine to find the value of .
Substitute in the known values.
Find the value of tangent.
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Use the definition of tangent to find the value of .
Substitute in the known values.
Move the negative in front of the fraction.
Find the value of cotangent.
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Use the definition of cotangent to find the value of .
Substitute in the known values.
Move the negative in front of the fraction.
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.
This is the solution to each trig value.
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Name

Name three hundred forty-six million two hundred fifty-two thousand seven hundred ninety-one

Interesting facts

  • 346252791 has 8 divisors, whose sum is 461850480
  • The reverse of 346252791 is 197252643
  • Previous prime number is 42293

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 39
  • Digital Root 3

Name

Name two billion forty-six million three hundred sixty-five thousand six hundred sixteen

Interesting facts

  • 2046365616 has 128 divisors, whose sum is 13828590864
  • The reverse of 2046365616 is 6165636402
  • Previous prime number is 901

Basic properties

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

Name

Name one billion five hundred nine million one hundred sixty-seven thousand five hundred eighteen

Interesting facts

  • 1509167518 has 8 divisors, whose sum is 2264257512
  • The reverse of 1509167518 is 8157619051
  • Previous prime number is 4597

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 43
  • Digital Root 7