Unit circle foundations
On the unit circle (radius 1, centered at the origin), an angle measured in radians is the length of the arc it cuts off: an angle of pi radians traces exactly half the circle's circumference, since the full circumference is 2 x pi x 1 = 2 x pi. This lets sine and cosine be defined for any angle at all, even beyond 90 degrees or negative angles, not just the acute angles of a right triangle.
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Midterm
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This final covers a lot of topics, so it's split into 2 parts. Each part includes a question from every one of its topics.
Final, Part 1 of 2
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Final, Part 2 of 2
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