Trigonometrie
From SkyWiki
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- | == | + | == Definitionen == |
{| | {| | ||
|<math>tan(\varphi) = \frac {\sin(\varphi)} {\cos(\varphi)}</math> | |<math>tan(\varphi) = \frac {\sin(\varphi)} {\cos(\varphi)}</math> | ||
|<math>cot(\varphi) = \frac {\cos(\varphi)} {\sin(\varphi)}</math> | |<math>cot(\varphi) = \frac {\cos(\varphi)} {\sin(\varphi)}</math> | ||
- | | | + | |} |
+ | |||
+ | == Symmetrieen == | ||
+ | {| | ||
|<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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|<math>\tan(-\varphi) = -\tan(\varphi)</math> | |<math>\tan(-\varphi) = -\tan(\varphi)</math> | ||
|<math>\cot(-\varphi) = -\cot(\varphi)</math> | |<math>\cot(-\varphi) = -\cot(\varphi)</math> | ||
- | | | + | |} |
+ | |||
+ | == trigonometrische Äquivalenzen == | ||
+ | |||
+ | {| | ||
|<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> |
Revision as of 21:36, 16 September 2008
Contents |
Definitionen
Symmetrieen
trigonometrische Äquivalenzen
Additionstheoreme
doppelte Winkel