Trigonometry Examples

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
Simplify inside the radical.
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Step 4.1
Raise to the power of .
Step 4.2
One to any power is one.
Step 4.3
Multiply by .
Step 4.4
Subtract from .
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:
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