# Find the Other Trig Values in Quadrant IV cos(x) equals twenty divide twenty-nine

Use the definition of cosine 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.

Raise to the power of .

Opposite

Raise to the power of .

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First, multiply by .

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Subtract from .

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Should be rewritten as .

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Multiply.

Withdraw terms from under the radical, assuming positive real numbers.

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Multiply by .

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Opposite

Opposite

Use the definition of sine to find the value of .

Substitute in the known values.

Put the negative in front of the fraction.

Use the definition of tangent to find the value of .

Substitute in the known values.

Move the negative in front of the fraction.

Use the definition of cotangent to find the value of .

Substitute in the known values.

Move the negative in front of the fraction.

Use the definition of secant to find the value of .

Substitute in the known values.

Use the definition of cosecant to find the value of .

Substitute in the known values.

Move the negative in front of the fraction.

This is the solution to each trig value.

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