How do you graph inverse trigonometric functions?

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How do you graph inverse trigonometric functions?

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Answer 1 · 2014-10-29T20:10:38

Since the graphs of $f (x)$ $f(x)$ and $f'(x)$ are symmetric about the line $y=x$ , start with the graph of a trigonometric function with an appropriate restricted domain, then reflect it about the line $y=x$ .

(Caution: Their domains must be restricted to an appropriate interval so that their inverses exist.)

Let us sketch the graph of $y=sin^{-1}x$ .

The graph of $y=sinx$ on $[-pi/2, pi/2]$ looks like:

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By reflecting the graph above about the line $y=x$ ,

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The curve in purple is the graph of $y=sin^{-1}x$ .

The graphs of other inverse trigonometric functions can be obtained similarly.

I hope that this was helpful.

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How do you graph inverse trigonometric functions?

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