Let () = 3 6 + 5 120 . (a) Graph = () and = sin for 2 2, 3

Chapter , Problem 11.2.48

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Let () = 3 6 + 5 120 . (a) Graph = () and = sin for 2 2, 3 3. (b) The graph of resembles the graph of sin on a small interval. Based on your graphs from part (a), give the approximate interval. (c) Your calculator uses a function similar to in order to evaluate the sine function. How reasonable an approximation does give for sin(8)? (d) Explain how you could use the function to approximate the value ofsin , where = 18 radians. [Hint: Use the fact that the sine function is periodic.]

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