# Trigonometry Examples

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Step 1

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.

Step 2

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.

Step 3

Replace the known values in the equation.

Step 4

Step 4.1

Raise to the power of .

Adjacent

Step 4.2

One to any power is one.

Adjacent

Step 4.3

Multiply by .

Adjacent

Step 4.4

Subtract from .

Adjacent

Adjacent

Step 5

Use the definition of cotangent to find the value of .

Step 6

Substitute in the known values.

Step 7

Divide by .

Step 8

The result can be shown in multiple forms.

Exact Form:

Decimal Form: