Graph of y = arcsin xDate: 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/ |
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