# Find the Other Trig Values in Quadrant IV sec(x)=(2 square root of 3)/3

Find the Other Trig Values in Quadrant IV sec(x)=(2 square root of 3)/3
Use the definition of secant 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.
Simplify .
Simplify the expression.
Apply the product rule to .
Opposite
Raise to the power of .
Opposite
Opposite
Rewrite as .
Rewrite as .
Opposite
Apply the power rule and multiply exponents, .
Opposite
Combine and .
Opposite
Cancel the common factor of .
Cancel the common factor.
Opposite
Divide by .
Opposite
Opposite
Evaluate the exponent.
Opposite
Opposite
Simplify the expression.
Multiply by .
Opposite
Raise to the power of .
Opposite
Multiply by .
Opposite
Subtract from .
Opposite
Opposite
Opposite
Find the value of sine.
Use the definition of sine to find the value of .
Substitute in the known values.
Simplify the value of .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
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.
Simplify the value of .
Multiply by .
Combine and simplify the denominator.
Multiply and .
Move .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Evaluate the exponent.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Find the value of tangent.
Use the definition of tangent to find the value of .
Substitute in the known values.
Move the negative in front of the fraction.
Find the value of cotangent.
Use the definition of cotangent to find the value of .
Substitute in the known values.
Simplify the value of .
Multiply by .
Combine and simplify the denominator.
Multiply and .
Move .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Evaluate the exponent.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Move the negative one from the denominator of .
Rewrite as .
Find the value of cosecant.
Use the definition of cosecant to find the value of .
Substitute in the known values.
Simplify the value of .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Move the negative one from the denominator of .
Multiply by .
This is the solution to each trig value.
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### Name

Name one billion six hundred ninety-five million eight hundred four thousand three hundred forty-three

### Interesting facts

• 1695804343 has 8 divisors, whose sum is 1722183008
• The reverse of 1695804343 is 3434085961
• Previous prime number is 193

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 43
• Digital Root 7

### Name

Name two hundred twenty million six hundred ninety-seven thousand nine hundred thirty-nine

### Interesting facts

• 220697939 has 32 divisors, whose sum is 294504960
• The reverse of 220697939 is 939796022
• Previous prime number is 61

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 47
• Digital Root 2

### Name

Name one billion six hundred eighteen million four hundred twenty-three thousand eight hundred thirty-one

### Interesting facts

• 1618423831 has 4 divisors, whose sum is 1619505000
• The reverse of 1618423831 is 1383248161
• Previous prime number is 1499

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 37
• Digital Root 1