# Find the Other Trig Values in Quadrant II sec(theta)=- square root of 5

Find the Other Trig Values in Quadrant II sec(theta)=- square root of 5
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.
Rewrite as .
Use to rewrite as .
Opposite
Apply the power rule and multiply exponents, .
Opposite
Combine and .
Opposite
Cancel the common factor of .
Cancel the common factor.
Opposite
Rewrite the expression.
Opposite
Opposite
Evaluate the exponent.
Opposite
Opposite
Multiply by by adding the exponents.
Multiply by .
Raise to the power of .
Opposite
Use the power rule to combine exponents.
Opposite
Opposite
Opposite
Opposite
Raise to the power of .
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.
Use the definition of sine to find the value of .
Substitute in the known values.
Simplify the value of .
Multiply by .
Combine and simplify the denominator.
Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Evaluate the exponent.
Find the value of cosine.
Use the definition of cosine to find the value of .
Substitute in the known values.
Simplify the value of .
Move the negative in front of the fraction.
Multiply by .
Combine and simplify the denominator.
Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Evaluate the exponent.
Find the value of tangent.
Use the definition of tangent to find the value of .
Substitute in the known values.
Divide by .
Find the value of cotangent.
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 cosecant.
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 billion six hundred fifty-four million nine thousand five hundred thirty-seven

### Interesting facts

• 1654009537 has 4 divisors, whose sum is 1666635696
• The reverse of 1654009537 is 7359004561
• Previous prime number is 131

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 40
• Digital Root 4

### Name

Name two billion one hundred twelve million six hundred thirteen thousand six hundred three

### Interesting facts

• 2112613603 has 4 divisors, whose sum is 2114799280
• The reverse of 2112613603 is 3063162112
• Previous prime number is 967

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 25
• Digital Root 7

### Name

Name one billion five hundred thirty-four million four hundred forty-six thousand two hundred eighty-four

### Interesting facts

• 1534446284 has 16 divisors, whose sum is 3945719088
• The reverse of 1534446284 is 4826444351
• Previous prime number is 7

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 41
• Digital Root 5