Trigonometrie
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|<math>\tan^2\frac\alpha 2 = \frac {1 - \cos\alpha}{1 + \cos\alpha}</math> | |<math>\tan^2\frac\alpha 2 = \frac {1 - \cos\alpha}{1 + \cos\alpha}</math> | ||
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| + | == Summen und Differenzen -> Produkt == | ||
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| + | <math>\sin\alpha + \sin\beta = 2 \sin\frac{\alpha+\beta} 2 \cos\frac{\alpha-\beta} 2</math> | ||
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| + | <math>\sin\alpha - \sin\beta = 2 \cos\frac{\alpha+\beta} 2 \sin\frac{\alpha-\beta} 2</math> | ||
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| + | <math>\cos\alpha + \cos\beta = 2 \cos\frac{\alpha+\beta} 2 \cos\frac{\alpha-\beta} 2</math> | ||
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| + | <math>\cos\alpha - \cos\beta = -2 \sin\frac{\alpha+\beta} 2 \sin\frac{\alpha-\beta} 2</math> | ||
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| + | == Produkt -> Summen oder Differenz == | ||
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| + | <math>2\,\sin\alpha \sin\beta = \cos(\alpha-\beta} - \cos(\alpha+\beta)</math> | ||
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| + | <math>2\,\cos\alpha \cos\beta = \cos(\alpha-\beta} + \cos(\alpha+\beta)</math> | ||
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| + | <math>2\,\sin\alpha \cos\beta = \sin(\alpha-\beta} + \sin(\alpha+\beta)</math> | ||
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[[category:Mathematik]] | [[category:Mathematik]] | ||
Current revision
Contents |
Definitionen
Symmetrieen
trigonometrische Äquivalenzen
Additionstheoreme
doppelte Winkel
halbe Winkel
Summen und Differenzen -> Produkt
Produkt -> Summen oder Differenz
