Sinus - Kosinus - Musteraufgaben
Musteraufgabe 3:
Gegeben im rechtwinkligen Dreieck:
![](data:image/png;base64,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)
- Länge der Ankathete c
- Winkelmaß
- Länge der Hypotenuse b
Lösung im Video:
Musteraufgabe 4:
Gegeben im rechtwinkligen Dreieck:
![](data:image/png;base64,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)
- Länge der Gegenkathete c
- Länge der Hypotenuse b
- Maß des Winkels ACB