Betrachtet man nur Rechtwinklige Dreiecke, kann man den Sinus, Cosinus und Tanges nur für Winkel, die maximal 90° groß sind, bestimmen. Um nun auch einen Wert für andere Winkel zu bestimmen, benötigt man einen phänomenalen, hirnverdrehenden Trick: Man nutzt dazu ein Dreieck mit der Hypothenusenlänge 1. [br]Mit [size=100]sin(α)[/size] = [math]\frac{Gegenkathete}{Hypotenuse}=\frac{Gegenkathete}{1}=Gegenkathete[/math] kann man den Wert von sin (α) direkt ablesen.[br]Mit cos[size=100](α)[/size] = [math]\frac{Ankathete}{Hypotenuse}=\frac{Ankathete}{1}=Ankathete[/math] kann man den Wert von cos(α) direkt ablesen.[br][br][size=200]1. Weg: Der Einheitskreis[/size][br]
Für einen konkreten Winkel kann man damit die Werte für den Sinus und Cosinus direkt ablesen. Hier im Beispiel siehst du α = 30° mit sin(30°) = 0,5 und cos(30°) = 0,87
[size=150][size=200]2. Weg: Das spektakulärste Riesenrad der Welt[/size][/size][br]Etwas actionreicher kannst du dir die ganze Situation am verrrücktesten, spektakulärsten Riesenrad der Welt vorstellen: Es sei im Wasser gebaut, seine obere Hälfte schaue aus dem Meer heraus, in der unteren Hälfte befinde es sich unter Wasser. [i](Es ist ein wirklich spektakuläres Gedankenexperiment!) [br][/i]Auch hier setzt man die Länge der Hypotenuse (Also den Radius des Riesenrads) auf 1. Man könnte z.B. sagen, es hat den Radius von einer Riesenradbreite. Einheiten sind in Gedankenexperimenten zum Glück meist eh nicht wichtig… Hier gibt es wieder genau eine Größe, von der alles abhängt: Der Winkel α, der angibt, wie weit sich das Riesenrad schon gedreht hat. [br][list][*]sin(α) ist dann die Höhe, in der sich eine Gondel über der Meeresoberfläche befindet, [/*][*]cos(α) gibt an, wie dicht neben dem Zentrum des Riesenrads ein Kaugummi landen würde, den du aus der Gondel heraus fallen lässt.[br][/*][/list]
Überlege dir, wie die Abbildung aussehen müsste, damit du sin(0°) und cos(0°), sin(90°) und cos(90°) sowie sin(60°) und cos(60°) ablesen kannst. [br]Du findest weiter unten eine Animation, mit der du deine Lösung überprüfen kannst. [br]Einige Sinus- und Cosinus-Werte kann man nun vom Kreis ablesen, z.B. [br][list][*]sin(0°)[/*][*]sin(90°)[/*][*]cos(0°)[/*][*]cos(90°)[/*][*]sin(60°)[/*][*]cos(60°)[/*][/list]
Überprüfe deine Überlegungen für die genannten Sinus- und Cosinus-Werte
sin(0°) = 0[br]cos(0°) = 1[br]sin(90°) = 1[br]cos(90°) = 0[br]sin(60°) = 0,87[br]cos(60°) = 0,5[br][br][img]data:image/png;base64,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[/img]
Damit kann man für beide [b]Funktionen [/b]eine erste Wertetabelle füllen:[br][img]data:image/png;base64,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[/img][br][img]data:image/png;base64,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[/img][br][br]Aus dieser Wertetabelle ergeben sich erste Punkte für den Graph der jeweiligen Funktionen.
Zeichne dir einen Einheitskreis mit einem Radius von 10cm = 1dm ("Dezimeter") ((höchste Zeit, den Zirkel mal wieder rauszukramen ;o) Und: Lege das Blatt im Querformat an))[br]Nun kannst du selber beliebige Sinus- und Cosinus-Werte ermitteln. Beachte, dass du in dm messen musst, d.h. hat deine Gegenkathete die Länge 5cm, entspricht dies 0,5dm und damit einem Sinus von 0,5.[br]Ermittle mit Hilfe deines Einheitskreises folgende Werte[br][list][*]sin(45°) und cos(45°)[/*][*]sin(75°) und cos(75°)[/*][/list]
[list][*]sin(45°) = 0,707… [/*][*]cos(45°) = 0,707…[/*][*]sin(75°) = 0,965…[/*][*]cos(75°) = 0,258…[/*][/list]
Übertrage deine Werte in ein von dir gezeichnetes Koordinatensystem. Auf der x-Achse trägst du dabei die Winkel ab. Wähle deine Einteilung so, dass du Winkel von -90° bis 400° einzeichnen kannst.
Nun kannst du dich schon etwas auf dem Einheitskreis bewegen. Überlege dir[br][list][*]wie das Dreieck aussehen könnte, wenn α > 90° ist (Beachte, dass die Hypotenuse immer noch die längste Seite sein muss)[/*][*]wie das Dreieck aussehen könnte, wenn α > 180° ist[/*][*]wie das Dreieck für α > 360° aussehen könnte[/*][*]wie das Dreieck für α < 0° aussehen könnte[/*][/list][br](Spoiler: Scrollst du weiter, findest du eine Animation, in der du deine Ideen überprüfen kannst)[br][br][br][br][br][br][br][br][br][br][br][br][br][br][br][br][br][br][br][br](Vorsicht, jetzt kommt sie wirklich gleich…)[br][br][br][br][br][br][br][br][br][br][br][br]