# Find the Other Trig Values in Quadrant III cos(theta)=0

Find the Other Trig Values in Quadrant III cos(theta)=0
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
Raising to any positive power yields .
Opposite
Multiply by .
Opposite
Opposite
Any root of is .
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.
Division by results in tangent being undefined at .
Undefined
Find the value of cotangent.
Use the definition of cotangent to find the value of .
Substitute in the known values.
Divide by .
Find the value of secant.
Use the definition of secant to find the value of .
Substitute in the known values.
Division by results in secant being undefined at .
Undefined
Find the value of cosecant.
Use the definition of cosecant to find the value of .
Substitute in the known values.
Divide by .
This is the solution to each trig value.
Undefined
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### Name

Name three hundred eighty million four hundred fifty-four thousand eighty-six

### Interesting facts

• 380454086 has 16 divisors, whose sum is 596700000
• The reverse of 380454086 is 680454083
• Previous prime number is 509

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 38
• Digital Root 2

### Name

Name one hundred seventeen million seven hundred thousand three hundred sixty-three

### Interesting facts

• 117700363 has 4 divisors, whose sum is 128400408
• The reverse of 117700363 is 363007711
• Previous prime number is 11

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 28
• Digital Root 1

### Name

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

### Interesting facts

• 1943515025 has 16 divisors, whose sum is 2817450000
• The reverse of 1943515025 is 5205153491
• Previous prime number is 149

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 35
• Digital Root 8