Find the Trig Value tan(theta)=24/7 , 0<=theta<=pi/2

Find the Trig Value tan(theta)=24/7 , 0<=theta<=pi/2
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Use the definition of tangent to find the known sides of the unit circle right triangle. The quadrant determines the sign on each of the values.
Find the hypotenuse of the unit circle triangle. Since the opposite and adjacent sides 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 .
Hypotenuse
Raise to the power of .
Hypotenuse
Add and .
Hypotenuse
Rewrite as .
Hypotenuse
Pull terms out from under the radical, assuming positive real numbers.
Hypotenuse
Hypotenuse
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 cosine.
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Use the definition of cosine to find the value of .
Substitute in the known values.
Find the value of cotangent.
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Use the definition of cotangent to find the value of .
Substitute in the known values.
Find the value of secant.
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Use the definition of secant to find the value of .
Substitute in the known values.
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 eighty-one million seven hundred forty-six thousand eight hundred ninety-one

Interesting facts

  • 181746891 has 16 divisors, whose sum is 207748800
  • The reverse of 181746891 is 198647181
  • Previous prime number is 269

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 45
  • Digital Root 9

Name

Name one billion four hundred eighty-eight million two hundred nine thousand two hundred sixty-six

Interesting facts

  • 1488209266 has 4 divisors, whose sum is 2232313902
  • The reverse of 1488209266 is 6629028841
  • Previous prime number is 2

Basic properties

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

Name

Name one billion nine hundred ninety million one hundred sixty-three thousand one hundred thirty-nine

Interesting facts

  • 1990163139 has 8 divisors, whose sum is 2655974160
  • The reverse of 1990163139 is 9313610991
  • Previous prime number is 1097

Basic properties

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