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 one hundred thirty-eight million two hundred forty-four thousand six hundred fifty-six

Interesting facts

  • 138244656 has 128 divisors, whose sum is 737961840
  • The reverse of 138244656 is 656442831
  • Previous prime number is 43

Basic properties

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

Name

Name nine hundred four million nine thousand two hundred forty-eight

Interesting facts

  • 904009248 has 256 divisors, whose sum is 8475111000
  • The reverse of 904009248 is 842900409
  • Previous prime number is 9

Basic properties

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

Name

Name five hundred sixty-seven million three hundred ninety thousand eight hundred sixty-five

Interesting facts

  • 567390865 has 4 divisors, whose sum is 680869044
  • The reverse of 567390865 is 568093765
  • Previous prime number is 5

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 49
  • Digital Root 4