Explanation Given information: The rectangular coordinates ( − 2 , 2 3 ) assuming r > 0 and 0 ≤ θ ≤ 2 π . Explanation: First plot the point ( − 2 , 2 3 ) in a rectangular coordinate system as shown below. The point lies in the quadrant II. Determine the distance r from the origin to the point using r = x 2 + y 2 . r = x 2 + y 2 = ( − 2 ) 2 + ( 2 3 ) 2 ⇒ 4 + 12 = 16 = 4 . Now determine θ

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ISBN: 9780321979070

Author: Michael Sullivan

Publisher: PEARSON

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System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

Chapter 14.1, Problem 52AYU

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The polar coordinates of the point whose rectangular coordinates are (−2,23), assuming r>0 and 0≤θ≤2π.

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Chapter 14.1, Problem 51AYU

Chapter 14.2, Problem 1AYU

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Here are the problems for you to answer. Work on your solution carefully to arrive at the correct answer. I. 1. Convert (6, 4) to rectangular coordinates. 2. Convert (0,3) to polar coordinates.

Chapter 14 Solutions

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The polar coordinates of the point whose rectangular coordinates are ( − 2 , 2 3 ) , assuming r > 0 and 0 ≤ θ ≤ 2 π .

Solution Summary: The author explains how to determine the polar coordinates of the point in a rectangular coordinate system.

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The polar coordinates of the point whose rectangular coordinates are (−2,23), assuming r>0 and 0≤θ≤2π.

Want to see the full answer?

Chapter 14 Solutions

The polar coordinates of the point whose rectangular coordinates are ( − 2 , 2 3 ) , assuming r &gt; 0 and 0 ≤ θ ≤ 2 π .

Solution Summary: The author explains how to determine the polar coordinates of the point in a rectangular coordinate system.

Videos

The polar coordinates of the point whose rectangular coordinates are (−2,23), assuming r>0 and 0≤θ≤2π.

Want to see the full answer?

Chapter 14 Solutions

The polar coordinates of the point whose rectangular coordinates are ( − 2 , 2 3 ) , assuming r > 0 and 0 ≤ θ ≤ 2 π .