87. DISCUSS: Compositions Involving Trigonometric Functions This exercise explores the effect of the inner function g on a composite function y = f(g(x)). (a) Graph the function y = sin Va using the viewing rectangle [0, 400] by [-1.5, 1.5] In what ways does this graph differ from the graph of the sine function? (b) Graph the function y = sin(x²) using the viewing rectangle [-5, 5] by [–1.5, 1.5]. In what ways does this graph differ from the graph of the sine function?
87. DISCUSS: Compositions Involving Trigonometric Functions This exercise explores the effect of the inner function g on a composite function y = f(g(x)). (a) Graph the function y = sin Va using the viewing rectangle [0, 400] by [-1.5, 1.5] In what ways does this graph differ from the graph of the sine function? (b) Graph the function y = sin(x²) using the viewing rectangle [-5, 5] by [–1.5, 1.5]. In what ways does this graph differ from the graph of the sine function?
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Trigonometric Functions: Unit Circle Approach
Section6.3: Trigonometric Graphs
Problem 87E
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![87. DISCUSS: Compositions Involving Trigonometric Functions
This exercise explores the effect of the inner function g on a
composite function y = f(g(x)).
(a) Graph the function y = sin Va using the viewing
rectangle [0, 400] by [-1.5, 1.5] In what ways does
this graph differ from the graph of the sine function?
(b) Graph the function y = sin(x²) using the viewing
rectangle [-5, 5] by [–1.5, 1.5]. In what ways does this
graph differ from the graph of the sine function?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9f3e0cd1-9a2e-4a27-8e2d-537c9478a462%2F308abcad-0aef-4572-a343-e3c047d4e029%2Fz73ed7k_processed.png&w=3840&q=75)
Transcribed Image Text:87. DISCUSS: Compositions Involving Trigonometric Functions
This exercise explores the effect of the inner function g on a
composite function y = f(g(x)).
(a) Graph the function y = sin Va using the viewing
rectangle [0, 400] by [-1.5, 1.5] In what ways does
this graph differ from the graph of the sine function?
(b) Graph the function y = sin(x²) using the viewing
rectangle [-5, 5] by [–1.5, 1.5]. In what ways does this
graph differ from the graph of the sine function?
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