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

Find the Other Trig Values in Quadrant III tan(theta)=0
Use the definition of tangent to find the known sides of the unit circle right triangle. The quadrant determines the sign on each of the values.
Find the hypotenuse of the unit circle triangle. Since the opposite and adjacent sides are known, use the Pythagorean theorem to find the remaining side.
Replace the known values in the equation.
Multiply by .
Hypotenuse
Raising to any positive power yields .
Hypotenuse
Raise to the power of .
Hypotenuse
Hypotenuse
Any root of is .
Hypotenuse
Hypotenuse
Find the value of sine.
Use the definition of sine to find the value of .
Substitute in the known values.
Simplify the value of .
Divide by .
Multiply by .
Find the value of cosine.
Use the definition of cosine 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 thirty-six million five hundred six thousand four hundred sixteen

### Interesting facts

• 2036506416 has 64 divisors, whose sum is 10800759024
• The reverse of 2036506416 is 6146056302
• Previous prime number is 21

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 33
• Digital Root 6

### Name

Name two hundred seventy-seven million nine hundred eighty-one thousand five hundred twenty-seven

### Interesting facts

• 277981527 has 8 divisors, whose sum is 371743216
• The reverse of 277981527 is 725189772
• Previous prime number is 337

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 48
• Digital Root 3

### Name

Name one billion four hundred thirteen million nine hundred twenty-five thousand eight hundred ninety-three

### Interesting facts

• 1413925893 has 16 divisors, whose sum is 2554854336
• The reverse of 1413925893 is 3985293141
• Previous prime number is 61

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 45
• Digital Root 9