# 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 .
Remove parentheses.
Raise to the power of .
Remove parentheses.
One to any power is one.
Multiply by .
Subtract from .
Use the definition of secant to find the value of .
Substitute in the known values.
Simplify the right side.
Multiply by .
Simplify.
Combine.
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.