Trigonometry Examples

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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.
Simplify the right side.
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Remove parentheses around .
Adjacent
Raise to the power of to get .
Adjacent
Remove parentheses around .
Adjacent
One to any power is one.
Adjacent
Multiply by to get .
Adjacent
Subtract from to get .
Adjacent
Adjacent
Use the definition of cosine to find the value of .
Substitute in the known values.
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