In my teaching I move around my university, giving classes in different locations, often to the same group of students. And often in a class I need to do a quick and dirty calculation – to demonstrate a computational point, or to work through an example or exercise. For this purpose I like [...]
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A week ago, I was discussing with an elementary mathematics class for engineers, the trigonometric addition formulas:
I decided not to attempt to prove any of these; instead I gave a few simple examples to at least convince the class that they “worked”. But it left me wondering: is there an easy, natural proof, within [...]
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