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April 21st, 2016, 10:07 AM   #1
Joined: Sep 2014
From: UK

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Domain and range of restriced tan, cos and sin graphs?

I've been told you need to restrict the domain to find the inverse functions of sin, cos and tan.

I am told the following from a source:

But it really bothers me because the graphs tell me something different. In case of sin x I can see that the domain on the graph is indeed what they are saying the restricted domain is, but then the actual domain seems to fit what I would say is the range on the graph as it is the minimum and maximum point at 1 and -1 of sin(x) so it would be $\displaystyle -1 \leqslant y \leqslant 1 $.

Can someone explain whats going on?

Last edited by greg1313; April 28th, 2016 at 08:14 PM.
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