Explanation The polar equation for the variable r is r = cos 3 θ . Substitute the value 0 ° for θ and obtain the value of r as, r = ( cos ( 3 × 0 ° ) × π 180 ) = 1 Similarly, obtain the values of θ and r as shown below in the Table 1. θ r 0.00 1.00 10.00 0.87 20.00 0.50 30.00 0.00 40.00 − 0.50 50.00 − 0.87 60.00 − 1.00 70.00 − 0.87 80.00 − 0.50 90.00 0.00 100.00 0.50 110.00 0.87 120.00 1.00 130.00 0.87 140

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ISBN: 9781337613927

Author: Stewart

Publisher: CENGAGE L

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Chapter 10, Problem 13E

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To sketch: The polar curve r=cos3θ.

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Chapter 10, Problem 12E

Chapter 10, Problem 14E

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Calculus, Early Transcendentals

Ch. 10.1 - Prob. 1E Ch. 10.1 - For the given parametric equations, find the...Ch. 10.1 - Sketch the curve by using the parametric equations...Ch. 10.1 - Sketch the curve by using the parametric equations...Ch. 10.1 - Prob. 7E Ch. 10.1 - Prob. 8E Ch. 10.1 - Prob. 9E Ch. 10.1 - Prob. 10E Ch. 10.1 - Prob. 11E Ch. 10.1 - Prob. 12E

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The polar curve r = cos 3 θ .

Solution Summary: The author illustrates how to sketch the polar curve r=mathrmcos3theta .

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To sketch: The polar curve r=cos3θ.

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