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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Chapter 14 Solutions

Precalculus (10th Edition)

Ch. 14.1 - Graph f( x )={ 3x2ifx2 3ifx=2 (pp.100-102)Ch. 14.1 - Prob. 2AYU Ch. 14.1 - Prob. 3AYU Ch. 14.1 - Prob. 4AYU Ch. 14.1 - True or False lim xc f( x )=N may be described by...Ch. 14.1 - Prob. 6AYU Ch. 14.1 - lim x2 ( 4 x 3 )Ch. 14.1 - lim x3 ( 2 x 2 +1 )Ch. 14.1 - Prob. 9AYU Ch. 14.1 - Prob. 10AYU

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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.

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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 .