Trigonometrie

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(halbe Winkel)
(trigonometrische Äquivalenzen)
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== trigonometrische Äquivalenzen ==
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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>
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|-
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|}
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== 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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|<math>\tan(-\varphi) = -\tan(\varphi)</math>
|<math>\tan(-\varphi) = -\tan(\varphi)</math>
|<math>\cot(-\varphi) = -\cot(\varphi)</math>
|<math>\cot(-\varphi) = -\cot(\varphi)</math>
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|-
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|}
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== 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

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Symmetrieen

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trigonometrische Äquivalenzen

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Additionstheoreme

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doppelte Winkel

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halbe Winkel

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