# Find the Other Trig Values in Quadrant IV sec(x) equals(two square root of three) divide three

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. Each value's sign is defined by the quadrant.
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.
Clarify .
Clarify the expression.
Apply the product rule to .
Opposite
Raise to the power of .
Opposite
Opposite
Should be rewritten as .
Rewrite as .
Opposite
Apply the power rule when multiplying the exponents, .
Opposite
Opposite
The common factor should be canceled of .
Cancel the common factor.
Opposite
First, divide by .
Opposite
Opposite
Solve the exponent.
Opposite
Opposite
Simplify the expression.
First, 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 .
The common factor should be canceled.
Cancel the common factor.
Reformulate the expression.
Put 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 Clarify the denominator.
Multiply and .
Put .
Raise to the power of .
Raise to the power of .
Use the power rule to Add exponents.
Rewrite as .
Rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
The common factor should be canceled.
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 .
Add and then 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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