Use the definition of sine to find the known sides of the unit circle right triangle. The quadrant determines the sign on each of the values.

Find the adjacent side of the unit circle triangle. Since the hypotenuse and opposite sides are known, use the Pythagorean theorem to find the remaining side.

Replace the known values in the equation.

One to any power is one.

Adjacent

Raising to any positive power yields .

Adjacent

Multiply by .

Adjacent

Add and .

Adjacent

Any root of is .

Adjacent

Adjacent

Use the definition of cosine to find the value of .

Substitute in the known values.

Divide by .

Use the definition of tangent to find the value of .

Substitute in the known values.

Divide by .

Use the definition of cotangent to find the value of .

Substitute in the known values.

Division by results in cotangent being undefined at .

Undefined

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.

Division by results in cosecant being undefined at .

Undefined

This is the solution to each trig value.

Undefined

Find the Other Trig Values in Quadrant I sin(theta)=0