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Question 1b

Question 1b

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 10DE
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Question 1b
1. a) Sketch the graph of the trigonometric function f(r) = sin(a) Check your work on Maple. b) Now, sketch the graph of g(x) = cos(x) c) Study the slopes of the tangent lines to each of the above graphs at the points x = 0, 2 , 27 In particular, note that these slopes will give us precisely the values of the derivatives of these functions at these points. 2 d) Deduce that the graph of the derivative of sin(x) takes us back to cos(r), while the derivative of cos(x) takes us to – sin(x). Experiment the above steps with Maple. e) Now deduce the derivative of
Transcribed Image Text:1. a) Sketch the graph of the trigonometric function f(r) = sin(a) Check your work on Maple. b) Now, sketch the graph of g(x) = cos(x) c) Study the slopes of the tangent lines to each of the above graphs at the points x = 0, 2 , 27 In particular, note that these slopes will give us precisely the values of the derivatives of these functions at these points. 2 d) Deduce that the graph of the derivative of sin(x) takes us back to cos(r), while the derivative of cos(x) takes us to – sin(x). Experiment the above steps with Maple. e) Now deduce the derivative of
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