Associated Topics || Dr. Math Home || Search Dr. Math

### Graph of y = arcsin x

```Date: 03/31/2003 at 00:50:22
From: Alley
Subject: Trigonometry

Graph y = arcsin x.
```

```
Date: 03/31/2003 at 08:35:15
From: Doctor Rick
Subject: Re: Trigonometry

Hi, Alley.

Can you graph y = sin(x)? How about x = sin(y)? If so, you're nearly
done, since arcsin(x) is the value of y such that x = sin(y).

The only remaining issue is that, in order for arcsin(x) to be a
function, it can only have one value for each value of x; and the
graph of x = sin(y) has many values of y for each x between -1 and 1.
We must improve the definition of arcsin(x) that I just gave: it is
the value of y BETWEEN -pi/2 AND pi/2 such that x = sin(y). With this
information, you can select a portion of the graph of x = sin(y) to
be your graph of y = arcsin(x).

- Doctor Rick, The Math Forum
http://mathforum.org/dr.math/
```
Associated Topics:
High School Equations, Graphs, Translations
High School Trigonometry

Search the Dr. Math Library:

 Find items containing (put spaces between keywords):   Click only once for faster results: [ Choose "whole words" when searching for a word like age.] all keywords, in any order at least one, that exact phrase parts of words whole words

Submit your own question to Dr. Math
Math Forum Home || Math Library || Quick Reference || Math Forum Search