Mall:Trigonometri grund: Skillnad mellan sidversioner

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Peter Åsum har gjort denna [http://www.geogebra.se/ma_a/trigonometri/sinv_ratvinklig_trigonometri_t.html GeoGebra om Sinus]
::::Peter Åsum har gjort ovanstående [http://www.geogebra.se/ma_a/trigonometri/sinv_ratvinklig_trigonometri_t.html GeoGebra om Sinus]
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'''Andra länkar om trigonometri'''
'''Andra länkar om trigonometri'''



Versionen från 28 augusti 2012 kl. 21.36

Trigonometri grundläggande

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Peter Åsum har gjort ovanstående GeoGebra om Sinus

Andra länkar om trigonometri

Definitioner:

  • Motstående katet
  • Närliggande katet
  • Sin v = motstående katet / hypotenusan
  • Cos v = närliggande katet / hypotenusan
  • Tangens v = motstående katet / närliggande katet

Digitalt

Definition: Ta reda på vinkeln

Om y = roten ur x så är 'y2 = x. Dessa två hänger ihop och den ena kan ses som den omvända av den andre. Detta kallas inversen, den inversa funktionen.

På samma sätt som det finns en invers funktion till kvadraten på ett tal, nämligen roten ur så finns det en invers funktion till sinus och cosinus.

Om sin v = a/h då är v = arcsin(a/h) eller sin-1(a/h)
Om cos v = b/h då är v = arccos(b/h) eller cos-1(b/h)
0ch på samma sätt för tangens