Trigonometrie

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(doppelte und halbe Winkel)
(doppelte und halbe Winkel)
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<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>
-
== doppelte und halbe Winkel ==
+
== doppelte Winkel ==
<math>\sin 2 \alpha = 2 \sin\alpha\, \cos\alpha</math>
<math>\sin 2 \alpha = 2 \sin\alpha\, \cos\alpha</math>
Line 52: Line 52:
<math>\cos 2 \alpha = \cos^2\alpha 2 - \sin^2\alpha = 2 cos^2\alpha - 1 = 1 - 2 \sin^2\alpha</math>
<math>\cos 2 \alpha = \cos^2\alpha 2 - \sin^2\alpha = 2 cos^2\alpha - 1 = 1 - 2 \sin^2\alpha</math>
 +
<math>\tan 2 \alpha = \frac {2 \tan\alpha} {1 - \tan^2\alpha}</math>
 +
 +
== halbe Winkel ==
 +
 +
<math>\sin^2\frac\alpha 2 = </math>
[[category:Mathematik]]
[[category:Mathematik]]

Revision as of 21:29, 16 September 2008

Contents

trigonometrische Äquivalenzen

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Additionstheoreme

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doppelte Winkel

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halbe Winkel

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