Matematica: Formulario di Trigonometria

Formule di prostaferesi

\(sin\alpha + sin\beta = 2 sin\left(\displaystyle\frac{\alpha + \beta}{2}\right) cos\left(\displaystyle\frac{\alpha – \beta}{2}\right)\)

\(sin\alpha – sin\beta = 2 cos\left(\displaystyle\frac{\alpha + \beta}{2}\right) sin\left(\displaystyle\frac{\alpha – \beta}{2}\right)\)

\(cos\alpha + cos\beta = 2 cos\left(\displaystyle\frac{\alpha + \beta}{2}\right) cos\left(\displaystyle\frac{\alpha – \beta}{2}\right)\)

\(cos\alpha – cos\beta = -2 sin\left(\displaystyle\frac{\alpha + \beta}{2}\right) sin\left(\displaystyle\frac{\alpha – \beta}{2}\right)\)

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