Trigonometrie
From SkyWiki
(Difference between revisions)
(→Summen und Differenten) |
Current revision (21:47, 16 September 2008) (view source) (→Produkt -> Summen oder Differenz) |
||
| (One intermediate revision not shown.) | |||
| Line 73: | Line 73: | ||
|} | |} | ||
| - | == Summen und Differenzen == | + | == Summen und Differenzen -> Produkt == |
| + | |||
<math>\sin\alpha + \sin\beta = 2 \sin\frac{\alpha+\beta} 2 \cos\frac{\alpha-\beta} 2</math> | <math>\sin\alpha + \sin\beta = 2 \sin\frac{\alpha+\beta} 2 \cos\frac{\alpha-\beta} 2</math> | ||
| Line 81: | Line 82: | ||
<math>\cos\alpha - \cos\beta = -2 \sin\frac{\alpha+\beta} 2 \sin\frac{\alpha-\beta} 2</math> | <math>\cos\alpha - \cos\beta = -2 \sin\frac{\alpha+\beta} 2 \sin\frac{\alpha-\beta} 2</math> | ||
| + | |||
| + | == Produkt -> Summen oder Differenz == | ||
| + | |||
| + | <math>2\,\sin\alpha \sin\beta = \cos(\alpha-\beta} - \cos(\alpha+\beta)</math> | ||
| + | |||
| + | <math>2\,\cos\alpha \cos\beta = \cos(\alpha-\beta} + \cos(\alpha+\beta)</math> | ||
| + | |||
| + | <math>2\,\sin\alpha \cos\beta = \sin(\alpha-\beta} + \sin(\alpha+\beta)</math> | ||
[[category:Mathematik]] | [[category:Mathematik]] | ||
Current revision
Contents |
Definitionen
Symmetrieen
trigonometrische Äquivalenzen
Additionstheoreme
doppelte Winkel
halbe Winkel
Summen und Differenzen -> Produkt
Produkt -> Summen oder Differenz
