Draw the graphs of f(x) =cos (cos^-1 x) and f(x) = cos^-1(co

Trigonometric ratios and functions, the unit circle, inverse trig functions, identities, trig graphs, etc.
maddy315
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Draw the graphs of f(x) =cos (cos^-1 x) and f(x) = cos^-1(co

Postby maddy315 » Mon Sep 05, 2011 7:54 pm

Draw the graphs of f(x) =cos (cos^-1 x) and f(x) = cos^-1(cos x)?

I know it's not really possible to draw the graph on here but try to explain what the graph looks like if you can. I know how to do a regular cosine graph but not an inverted cosine graph.

I really need the help, thanks so much!

nona.m.nona
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Joined: Sun Dec 14, 2008 11:07 pm
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Re: Draw the graphs of f(x) =cos (cos^-1 x) and f(x) = cos^-

Postby nona.m.nona » Sun Sep 11, 2011 7:54 pm

maddy315 wrote:Draw the graphs of f(x) =cos (cos^-1 x) and f(x) = cos^-1(cos x)?

You might want to start by reviewing the definition of the inverse cosine, and then think about the simplified (or, perhaps, "evaluated") form of the functions. What happens when you take the cosine of the inverse cosine of x? What is the result? And so forth.


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