Explanation Graph: Consider the given point 4 , 5 π 6 . For the above point r , θ , the polar coordinates are r = 4 and θ = 5 π 6 . Here, r is directed distance from pole to the point and θ is directed angle from the polar axis to the segment joining the origin and the point counterclockwise. Therefore, the sketch of the graph of polar coordinate 4 , 5 π 6 is, The multiple representations of a point r , θ are given as: r , θ = r , θ ± 2 n π or r , θ = − r , θ ± 2 n + 1 π , where n is any integer. Now, substitute r = 4 and θ = 5 π 6 in the above relation, 4 , 5 π 6 = 4 , 5 π 6 ± 2 n π or 4 , 5 π 6 = − 4 , 5 π 6 ± 2 n + 1 π Substitute 0 for n in the expression 4 , 5 π 6 = − 4 , 5 π 6 ± 2 n + 1 π , 4 , 5 π 6 = − 4 , 5 π 6 ±</

10th Edition

ISBN: 9781337879620

Author: Larson

Publisher: VST

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Chapter 6, Problem 67RE

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To graph: The sketch of the point 4,5π6 in polar coordinates and determine three additional polar coordinates when it is given that −2π<θ<2π.

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Chapter 6, Problem 66RE

Chapter 6, Problem 68RE

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Chapter 6 Solutions

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To graph: The sketch of the point 4 , 5 π 6 in polar coordinates and determine three additional polar coordinates when it is given that − 2 π < θ < 2 π .

Solution Summary: The author analyzes the graph of a point (4,5pi6) and determines three additional polar coordinates.

To graph: The sketch of the point 4,5π6 in polar coordinates and determine three additional polar coordinates when it is given that −2π<θ<2π.

Want to see the full answer?

Chapter 6 Solutions

To graph: The sketch of the point 4 , 5 π 6 in polar coordinates and determine three additional polar coordinates when it is given that − 2 π &lt; θ &lt; 2 π .

Solution Summary: The author analyzes the graph of a point (4,5pi6) and determines three additional polar coordinates.

To graph: The sketch of the point 4,5π6 in polar coordinates and determine three additional polar coordinates when it is given that −2π<θ<2π.

Want to see the full answer?

Chapter 6 Solutions

To graph: The sketch of the point 4 , 5 π 6 in polar coordinates and determine three additional polar coordinates when it is given that − 2 π < θ < 2 π .