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Task 2: Analyze the graphs of the polar equations r= acos(n8) and r= asin(n®) when n is an even integer. a. What is the maximum value of r? b. Sketch the graphs when n = 2 c. Sketch the graphs when n = 4

Task 2: Analyze the graphs of the polar equations r= acos(n8) and r= asin(n®) when n is an even integer. a. What is the maximum value of r? b. Sketch the graphs when n = 2 c. Sketch the graphs when n = 4

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Task 2: Analyze the graphs of the polar equations r= acos(n 0) and r = asin(n 0) when n is an even integer. a. What is the maximum value of r? b. Sketch the graphs when n = 2 c. Sketch the graphs when n = 4 d. Sketch the graphs when n = 6 e. List the similarities and differences between graph in (b) - (d) (Compare things like number of pedals, domain /range, symmetry, max value) f. Make your conclusion. Explain in detail what the graph of r = acos(n 0) and r= asin(n 0) will look like when n is an even integer.
Transcribed Image Text:Task 2: Analyze the graphs of the polar equations r= acos(n 0) and r = asin(n 0) when n is an even integer. a. What is the maximum value of r? b. Sketch the graphs when n = 2 c. Sketch the graphs when n = 4 d. Sketch the graphs when n = 6 e. List the similarities and differences between graph in (b) - (d) (Compare things like number of pedals, domain /range, symmetry, max value) f. Make your conclusion. Explain in detail what the graph of r = acos(n 0) and r= asin(n 0) will look like when n is an even integer.
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