Trigonometrie

From SkyWiki

(Difference between revisions)
Jump to: navigation, search
(Summen und Differenten)
(Summen und Differenzen)
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>
[[category:Mathematik]]
[[category:Mathematik]]

Revision as of 21:46, 16 September 2008

Contents

Definitionen

MathImage MathImage

Symmetrieen

MathImage MathImage
MathImage MathImage
MathImage MathImage
MathImage MathImage

trigonometrische Äquivalenzen

MathImage MathImage
MathImage MathImage

MathImage

MathImage

MathImage

MathImage

Additionstheoreme

MathImage

MathImage

MathImage

MathImage

MathImage

MathImage

doppelte Winkel

MathImage

MathImage

MathImage

halbe Winkel

MathImage MathImage
MathImage MathImage
MathImage

Summen und Differenzen -> Produkt

MathImage

MathImage

MathImage

MathImage

Produkt -> Summen oder Differenz

MathImage