Trigonometry
I have just realized that I haven’t posted a good puzzle here in a long time, so here it goes one on Trigonometry, that the average student of Calculus should be able to tackle: you can use anything you think it could help: derivatives, symmetry, periodicity, integration, summation, go to several variables, differential equations, etc
Prove that, for all real values
it is
or, in a more compact notation,
Categories: Analysis, Geometry, puzzles, Teaching
calculus, cosine, derivatives, infinite sums, integrals, periodicity, product, sine, symmetry, trigonometry
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Francisco Blanco-Silva 