The approximation sin xxIt is often useful to know

Chapter 1, Problem 1.3 64

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The approximation sin x?xIt is often useful to know that,when x is measured in radians, sin x?x for numerically small val-ues of x. In Section 3.11, we will see why the approximation holds.The approximation error is less than 1 in 5000 if 0x060.1.a.With your grapher in radian mode, graph y=sin x and y=x together in a viewing window about the origin. What do you see happening as x nears the origin?b.With your grapher in degree mode, graph y=sin x and y=x together about the origin again. How is the picture dif-ferent from the one obtained with radian mode?

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