Matematica: Formulario di Trigonometria

Formule di addizione e sottrazione

\(sin(\alpha + \beta) = sin\alpha \cdot cos\beta + cos\alpha\cdot sin\beta\)

\(cos(\alpha + \beta) = cos\alpha \cdot cos\beta – sen\alpha\cdot sin\beta\)

\(tg(\alpha + \beta) = \displaystyle\frac{tg\alpha + tg\beta}{1 – tg\alpha \cdot tg\beta}\)

\(cotg(\alpha + \beta) = \displaystyle\frac{cotg\alpha\cdot cotg\beta -1}{cotg\alpha + cotg\beta}\)

\(sin(\alpha – \beta) = sin\alpha\cdot cos\beta – cos\alpha\cdot sin\beta\)

\(cos(\alpha – \beta) = cos\alpha\cdot cos\beta + sen\alpha\cdot sin\beta\)

\(tg(\alpha – \beta) = \displaystyle\frac{tg\alpha – tg\beta}{1 + tg\alpha\cdot tg\beta}\)

\(cotg(\alpha – \beta) = \displaystyle\frac{cotg\alpha\cdot cotg\beta + 1}{cotg\alpha – cotg\beta}\)

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