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The "law of cosines" can be used to find the third side of any triangle if you know the first two sides and the angle between them.  This fact also helps derive relationships between sin and cos of different angles, such as
sqrt(2-2cos x) = 2 sin(x/2)

Sines and Cosines of Common Angles gives a method for first year trig students to breeze through the homework and test questions having to do with sines and cosines of common angles -- all the multiples of 30� and all the multiples of 45� in every quadrant.

Trig Equivalences are handy.  Some have proofs.

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The webmaster and author of this Math Help site is Graeme McRae.