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 two billion seventy-seven million six hundred ninety-four thousand four hundred seventy-two

Interesting facts

  • 2077694472 has 128 divisors, whose sum is 12211762176
  • The reverse of 2077694472 is 2744967702
  • Previous prime number is 7

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 48
  • Digital Root 3

Name

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

Interesting facts

  • 1902828488 has 64 divisors, whose sum is 7013314368
  • The reverse of 1902828488 is 8848282091
  • Previous prime number is 21997

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 50
  • Digital Root 5

Name

Name one billion five hundred thirty-eight million eight hundred eighty-seven thousand six hundred ninety-two

Interesting facts

  • 1538887692 has 32 divisors, whose sum is 4634226432
  • The reverse of 1538887692 is 2967888351
  • Previous prime number is 263

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 57
  • Digital Root 3