File:ArcsinGraph.jpg
| Uploaded by | AstroOgier |
|---|---|
| Upload date | 2024-09-12T10:18:06Z |
| MIME type | image/jpeg |
| Dimensions | 2047 × 1102 px |
| File size | 102.4 KB |
Summary
| Description |
Dansk: Sinus og arcussinus. Den sorte kurve viser grafen for sinus. Den blå kurve markerer begrænsningen af definitionsmængden til det lukkede interval fra −π/2 til π/2. I dette interval er sin monotont voksende og har derfor en invers funktion, arcussinus. Dens graf er vist med rød streg. Den fremkommer ved spejling omkring linjen med ligningen y = x, der vises stiplet.
English: Sine and arcsine. The black curve shows the graph of sine. The blue curve marks the restriction of the domain to the closed interval from −π/2 to π/2. In this interval, sin is monotonically increasing and therefore has an inverse function, the arcsine. Its graph is shown in red line. It is produced by mirroring around the line with the equation y = x, which is shown dashed.
Deutsch: Sinus und Arkussinus. Die schwarze Kurve zeigt den Graph von Sinus. Die blaue Kurve markiert die Einschränkung der Definitionsmenge auf das geschlossene Intervall von −π/2 bis π/2. In diesem Intervall nimmt sin monoton zu und hat daher eine Umkehrfunktion, den Arkussinus. Sein Graph wird mit einer roten Kurve gezeigt. Es entsteht durch Spiegelung um die gestrichelt dargestellte Gerade mit der Gleichung y = x. |
| Date | |
| Source | Own work |
| Author | AstroOgier |
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