Find the Other Trig Values in Quadrant I sec(x)=12

Find the Other Trig Values in Quadrant I sec(x)=12
Use the definition of secant 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 .
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Raise to the power of .
Opposite
One to any power is one.
Opposite
Multiply by .
Opposite
Subtract from .
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 cosine.
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Use the definition of cosine 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.
Divide by .
Find the value of cotangent.
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Use the definition of cotangent to find the value of .
Substitute in the known values.
Simplify the value of .
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Multiply by .
Combine and simplify the denominator.
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Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
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Rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Evaluate the exponent.
Find the value of cosecant.
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Use the definition of cosecant to find the value of .
Substitute in the known values.
Simplify the value of .
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Multiply by .
Combine and simplify the denominator.
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Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
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Rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Evaluate the exponent.
This is the solution to each trig value.
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Name

Name one billion six hundred twelve million six hundred sixty-five thousand one hundred sixty-four

Interesting facts

  • 1612665164 has 32 divisors, whose sum is 3959914176
  • The reverse of 1612665164 is 4615662161
  • Previous prime number is 3307

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 38
  • Digital Root 2

Name

Name one billion one hundred sixty-eight million three hundred three thousand twenty-five

Interesting facts

  • 1168303025 has 8 divisors, whose sum is 1217295144
  • The reverse of 1168303025 is 5203038611
  • Previous prime number is 541

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 29
  • Digital Root 2

Name

Name seven hundred twenty-three million one hundred eighty-seven thousand four hundred ninety-five

Interesting facts

  • 723187495 has 8 divisors, whose sum is 868242816
  • The reverse of 723187495 is 594781327
  • Previous prime number is 2143

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 46
  • Digital Root 1