# Find the Other Trig Values in Quadrant IV cot(theta)=- square root of 3

Find the Other Trig Values in Quadrant IV cot(theta)=- square root of 3
Use the definition of cotangent 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.
Raise to the power of .
Hypotenuse
Rewrite as .
Use to rewrite as .
Hypotenuse
Apply the power rule and multiply exponents, .
Hypotenuse
Combine and .
Hypotenuse
Cancel the common factor of .
Cancel the common factor.
Hypotenuse
Rewrite the expression.
Hypotenuse
Hypotenuse
Evaluate the exponent.
Hypotenuse
Hypotenuse
Hypotenuse
Rewrite as .
Hypotenuse
Pull terms out from under the radical, assuming positive real numbers.
Hypotenuse
Hypotenuse
Find the value of sine.
Use the definition of sine to find the value of .
Substitute in the known values.
Move the negative in front of the fraction.
Find the value of cosine.
Use the definition of cosine to find the value of .
Substitute in the known values.
Find the value of tangent.
Use the definition of tangent 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 secant.
Use the definition of secant 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 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.
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### Name

Name one hundred eighty-six million eight hundred thirty-five thousand eight hundred three

### Interesting facts

• 186835803 has 32 divisors, whose sum is 313528320
• The reverse of 186835803 is 308538681
• Previous prime number is 107

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 42
• Digital Root 6

### Name

Name three hundred seventy-five million one hundred eight thousand nine hundred thirty-three

### Interesting facts

• 375108933 has 8 divisors, whose sum is 502005600
• The reverse of 375108933 is 339801573
• Previous prime number is 269

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 39
• Digital Root 3

### Name

Name six hundred sixty-one million six hundred seventy-two thousand two hundred sixty-two

### Interesting facts

• 661672262 has 4 divisors, whose sum is 992508396
• The reverse of 661672262 is 262276166
• Previous prime number is 2

### Basic properties

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