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66. The approximation sin x = x It is often useful to know that, when x is measured in radians, sin x - x for numerically small values of x. In Section 3.11, we will see why the approximation holds. The approximation error is less than 1 in 5000 if |x| < 0.1. 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 different from the one obtained with radian mode? General Sine Curves For 2т f(x) = A sin C)) + D,

66. The approximation sin x = x It is often useful to know that, when x is measured in radians, sin x - x for numerically small values of x. In Section 3.11, we will see why the approximation holds. The approximation error is less than 1 in 5000 if |x| < 0.1. 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 different from the one obtained with radian mode? General Sine Curves For 2т f(x) = A sin C)) + D,

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 19EQ
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The approximation sin x - x

66. The approximation sin x = x It is often useful to know that, when x is measured in radians, sin x - x for numerically small values of x. In Section 3.11, we will see why the approximation holds. The approximation error is less than 1 in 5000 if |x| < 0.1. 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 different from the one obtained with radian mode? General Sine Curves For 2т f(x) = A sin C)) + D,
Transcribed Image Text:66. The approximation sin x = x It is often useful to know that, when x is measured in radians, sin x - x for numerically small values of x. In Section 3.11, we will see why the approximation holds. The approximation error is less than 1 in 5000 if |x| < 0.1. 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 different from the one obtained with radian mode? General Sine Curves For 2т f(x) = A sin C)) + D,
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