# 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.
Remove parentheses around .
Raise to the power of to get .
Remove parentheses around .
One to any power is one.
Multiply by to get .
Subtract from to get .
Use the definition of cosecant to find the value of .
Substitute in the known values.
Divide by to get .

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