# Find the Other Trig Values in Quadrant III cos(theta)=-1

Find the Other Trig Values in Quadrant III cos(theta)=-1
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.
Negate .
Opposite
One to any power is one.
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
Multiply by .
Opposite
Opposite
Find the value of sine.
Use the definition of sine to find the value of .
Substitute in the known values.
Divide by .
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.
Division by results in cotangent being undefined at .
Undefined
Find the value of secant.
Use the definition of secant to find the value of .
Substitute in the known values.
Divide by .
Find the value of cosecant.
Use the definition of cosecant to find the value of .
Substitute in the known values.
Division by results in cosecant being undefined at .
Undefined
This is the solution to each trig value.
Undefined
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### Name

Name two billion seventy-eight million eight hundred sixty-six thousand six hundred nine

### Interesting facts

• 2078866609 has 4 divisors, whose sum is 2079051300
• The reverse of 2078866609 is 9066688702
• Previous prime number is 12041

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 52
• Digital Root 7

### Name

Name one billion sixty-two million three hundred eighty-five thousand seven hundred sixty-one

### Interesting facts

• 1062385761 has 8 divisors, whose sum is 1417197600
• The reverse of 1062385761 is 1675832601
• Previous prime number is 2099

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 39
• Digital Root 3

### Name

Name seven hundred sixty-six million seven hundred thirty-nine thousand eight hundred fourteen

### Interesting facts

• 766739814 has 16 divisors, whose sum is 1623684528
• The reverse of 766739814 is 418937667
• Previous prime number is 17

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 51
• Digital Root 6