Suppose you graph the function r(0) = 4cos (20) on the interval [0,2π] in polar coordinates. How many times do you think the graph will pass through the origin on interval? How many distinct "loops will the graph make? See if you can anticipate the answers to these questions either using algebra or graphing by hand. Then, use a graphing calculator or Desmos to verify your guess. Repeat everything from the previous problem, but this time with the function: r(0) = 4cos (30).
Suppose you graph the function r(0) = 4cos (20) on the interval [0,2π] in polar coordinates. How many times do you think the graph will pass through the origin on interval? How many distinct "loops will the graph make? See if you can anticipate the answers to these questions either using algebra or graphing by hand. Then, use a graphing calculator or Desmos to verify your guess. Repeat everything from the previous problem, but this time with the function: r(0) = 4cos (30).
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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Repeat everything from the previous problem, but this time with the function:
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