Chapter 1.5, Problem 76E

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8th Edition

James Stewart

ISBN: 9781305270343

Textbook Problem

(a) Graph the function *f*(*x*) = sin(sin^{‒1} *x*) and explain the appearance of the graph.

(b) Graph the function *g*(*x*) = sin^{‒1}(sin *x*)*.* How do you explain the appearance of this graph?

(a)

To determine

**To Explain:** The graph of the function.

Explanation

Use online graph calculator and draw the graph of

Notice that, Figure 1is the graph of *y* = *x* on the domain [−1,1].

As sin *x* and

Thus, the given function reduces to, *y* = *x*.

It is known the fact that the domain of sine function is for all real numbers and the range of the sine function is

Also, the fact that the domain of inverse of sine function is [-1,1] and the range of the inverse of the function is

(b)

To determine

**To explain:** The appearance of the graph of.

Sect-1.1 P-1ESect-1.1 P-2ESect-1.1 P-3ESect-1.1 P-4ESect-1.1 P-5ESect-1.1 P-7ESect-1.1 P-8ESect-1.1 P-9ESect-1.1 P-10ESect-1.1 P-11E

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