(a) Graph the two functions $y=\sin x$ and $y=\sin (\sin x)$ in the standard viewing rectangle. Then for a closer look, switch to a viewing rectangle extending from 0 to $2 \pi$ in the $x$ -direction and from $-1$ to 1 in the $y$ -direction. Compare the two graphs; write out your observations in complete sentences.
(b) Use the graphing utility to estimate the amplitude of the function $y=\sin (\sin x)$
(c) Using your knowledge of the sine function, explain why the amplitude of the function $y=\sin (\sin x)$ is the number sin $1 .$ Then evaluate $\sin 1$ and use the result to check your approximation in part (b).
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