La Derivada del Coseno

Mathematics – General Mathematics

Scientific paper

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One page, two figures

Scientific paper

The simplest rigourous, non-circular proof that d(cos x) = -sen x. Some details omitted if the gap is intuitive, nevertheles, each gap is easily filled, rigourously. As Ehrenpreis and others have pointed out, the usual text book `proof' is circular, since it assumes the area of circular sectors is already known. Various Cours d'Analyse tomes (Hermite, Jordan, etc.) have correct proofs which, however, are more difficult.

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