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Program Details

Part of the series: Project Mathematics! Series
Producer: California Institute of Technology
Year produced: 1994
Total length: 30 minutes
Grade(s): 9-12

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Relates the sine and cosine of an angle with the lengths of chords of a circle. This leads to a derivation of addition formulas for determining the sine and cosine of a sum of two angles. One application shows that a combination of a sine wave and a cosine wave of the same frequency is another sine wave, possibly shifted. Another application shows how the addition formulas make it possible to determine exact expressions for sines and cosines of many angles in terms of square roots on integers.

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