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a. Sketch the graph of y = tan . b. Explain why the period of tangent is 180 rather than

Precalculus with Trigonometry: Concepts and Applications | 1st Edition | ISBN: 9781559533911 | Authors: Foerster ISBN: 9781559533911 468

Solution for problem R.3 Chapter 3-8

Precalculus with Trigonometry: Concepts and Applications | 1st Edition

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Precalculus with Trigonometry: Concepts and Applications | 1st Edition | ISBN: 9781559533911 | Authors: Foerster

Precalculus with Trigonometry: Concepts and Applications | 1st Edition

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Problem R.3

a. Sketch the graph of y = tan . b. Explain why the period of tangent is 180 rather than 360 like sine and cosine. c. Plot the graph of y = sec on your grapher. Explain how you did this. d. Use the relationship between sine and cosecant to explain why the cosecant function has vertical asymptotes at = 0, 180, 360, . . . . e. Explain why the graph of cosecant has high and low points but no points of inflection. Explain why the graph of cotangent has points of inflection but no high or low points. f. For y = 2 + 0.4 cot ( 40), give the vertical and horizontal dilations and the vertical and horizontal translations. Then plot the graph to confirm that your answers are right. What is the period of this function? Why is it not meaningful to talk about its amplitude? R

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Textbook: Precalculus with Trigonometry: Concepts and Applications
Edition: 1
Author: Foerster
ISBN: 9781559533911

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a. Sketch the graph of y = tan . b. Explain why the period of tangent is 180 rather than