# Find the Other Trig Values in Quadrant I tan(A) equals zero point seven eight

Use the definition of tangent to find the known sides of the unit circle right triangle. Each value's sign is defined by the quadrant.

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

One raised to any power equals one.

Hypotenuse

Add and .

Hypotenuse

Hypotenuse

Use the definition of sine to find the value of .

Substitute in the known values.

Simplify the value of .

First, multiply by .

Add and Clarify the denominator.

Multiply and .

Raise to the power of .

Raise to the power of .

Apply the power rule to Add exponents.

Add and .

Should be rewritten as .

Rewrite as .

Use the power rule when multiplying the exponents, .

Combine and .

The common factor should be canceled of .

Cancel the common factor.

First, divide by .

Solve the exponent.

Multiply by .

Divide by .

Use the definition of cosine to find the value of .

Substitute in the known values.

Simplify the value of .

Multiply by .

Add and then simplify the denominator.

Multiply and .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

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.

Evaluate the root.

Divide by .

Use the definition of cotangent to find the value of .

Substitute in the known values.

Divide by .

Use the definition of secant to find the value of .

Substitute in the known values.

Divide by .

Use the definition of cosecant to find the value of .

Substitute in the known values.

Simplify the value of .

Evaluate the root.

Divide by .

This is the solution to each trig value.

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