150 135 120° 105° 90° 180° 165* 240 225 210 .592 .042 75° .582 60° .00€ 45° 315* 30° 330⁰ 15° 8=0° 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 this 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.
150 135 120° 105° 90° 180° 165* 240 225 210 .592 .042 75° .582 60° .00€ 45° 315* 30° 330⁰ 15° 8=0° 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 this 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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 14E
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