# Find the Other Trig Values in Quadrant III sin(x)=-11/61

Find the Other Trig Values in Quadrant III sin(x)=-11/61
Use the definition of sine to find the known sides of the unit circle right triangle. The quadrant determines the sign on each of the values.
Find the adjacent side of the unit circle triangle. Since the hypotenuse and opposite sides are known, use the Pythagorean theorem to find the remaining side.
Replace the known values in the equation.
Simplify .
Raise to the power of .
Raise to the power of .
Multiply by .
Subtract from .
Rewrite as .
Multiply.
Pull terms out from under the radical, assuming positive real numbers.
Multiply by .
Find the value of cosine.
Use the definition of cosine to find the value of .
Substitute in the known values.
Move the negative in front of the fraction.
Find the value of tangent.
Use the definition of tangent to find the value of .
Substitute in the known values.
Dividing two negative values results in a positive value.
Find the value of cotangent.
Use the definition of cotangent to find the value of .
Substitute in the known values.
Dividing two negative values results in a positive value.
Find the value of secant.
Use the definition of secant 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.
Move the negative in front of the fraction.
This is the solution to each trig value.
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### Name

Name one billion six hundred forty-nine million three hundred twenty-nine thousand fifty-five

### Interesting facts

• 1649329055 has 8 divisors, whose sum is 2159121744
• The reverse of 1649329055 is 5509239461
• Previous prime number is 11

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 44
• Digital Root 8

### Name

Name seventy-seven million four hundred fifty-eight thousand eight hundred sixty-nine

### Interesting facts

• 77458869 has 16 divisors, whose sum is 114889600
• The reverse of 77458869 is 96885477
• Previous prime number is 9

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 8
• Sum of Digits 54
• Digital Root 9

### Name

Name one billion two hundred seventeen million seven hundred fifty-nine thousand one hundred fifty-three

### Interesting facts

• 1217759153 has 8 divisors, whose sum is 1380456000
• The reverse of 1217759153 is 3519577121
• Previous prime number is 13

### Basic properties

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