Trigonometrie

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(Additionstheoreme)
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<math>\cos(\alpha + \beta) = \cos\alpha \cos\beta - \sin\alpha \sin\beta</math>
<math>\cos(\alpha + \beta) = \cos\alpha \cos\beta - \sin\alpha \sin\beta</math>
-
<math>\tan(\alpha + \beta) = \frac{\tan\alpha + \tan\beta} {1 - \tan\alpha \tan\beta}</math>
+
<math>\tan(\alpha + \beta) = \frac{\tan\alpha + \tan\beta} {1 - \tan\alpha\, \tan\beta}</math>
 +
 
 +
<math>\sin(\alpha - \beta) = \sin\alpha \cos\beta - \cos\alpha \sin\beta</math>
 +
 
 +
<math>\cos(\alpha - \beta) = \cos\alpha \cos\beta + \sin\alpha \sin\beta</math>
 +
 
 +
<math>\tan(\alpha - \beta) = \frac{\tan\alpha - \tan\beta} {1 + \tan\alpha\, \tan\beta}</math>
[[category:Mathematik]]
[[category:Mathematik]]

Revision as of 21:22, 16 September 2008

trigonometrische Äquivalenzen

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