Trigonometrie
From SkyWiki
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== Symmetrieen == | == Symmetrieen == | ||
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|<math>\sin(\varphi+k\cdot 360^\circ) = \sin(\varphi)</math> | |<math>\sin(\varphi+k\cdot 360^\circ) = \sin(\varphi)</math> | ||
|<math>\cos(\varphi+k\cdot 360^\circ) = \cos(\varphi)</math> | |<math>\cos(\varphi+k\cdot 360^\circ) = \cos(\varphi)</math> | ||
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== trigonometrische Äquivalenzen == | == trigonometrische Äquivalenzen == | ||
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|<math>\sin(90^\circ-\varphi) = \cos(\varphi)</math> | |<math>\sin(90^\circ-\varphi) = \cos(\varphi)</math> | ||
|<math>\cos(90^\circ-\varphi) = \sin(\varphi)</math> | |<math>\cos(90^\circ-\varphi) = \sin(\varphi)</math> | ||
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== halbe Winkel == | == halbe Winkel == | ||
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|<math>\sin^2\frac\alpha 2 = \frac 1 2 (1 - \cos\alpha)</math> | |<math>\sin^2\frac\alpha 2 = \frac 1 2 (1 - \cos\alpha)</math> | ||
|<math>1 - \cos 2\alpha = 2 \sin^2\alpha</math> | |<math>1 - \cos 2\alpha = 2 \sin^2\alpha</math> |
Revision as of 21:37, 16 September 2008
Contents |
Definitionen
Symmetrieen
trigonometrische Äquivalenzen
Additionstheoreme
doppelte Winkel