Precalculus with Limits: A Graphing Approach
7th Edition
ISBN: 9781305071711
Author: Ron Larson
Publisher: Brooks/Cole
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Question
Chapter 9.5, Problem 6E
To determine
To calculate: To match the polar coordinates with the point on the graph and then find the rectangular coordinates of the point
Expert Solution & Answer
Answer to Problem 6E
The polar coordinates of point on the graph matches with point D and rectangular coordinate is (0,−2)
Explanation of Solution
Given information: Points is (2,3π2)
Polar coordinates of points
Formula Used:
Polar coordinate is given as (r,θ) , where r is radius of circle
Rectangular coordinate of the point in polar coordinate (r,θ) is given as
x=rcosθ
y=rsinθ
Calculation:
Point is given as
(2,3π2)
Plotting the polar coordinates on the graph
Thus, the point on graph is D
Rectangular coordinate of the point is calculated as follows:
x=rcosθ and
y=rsinθ
Calculating x coordinate,
x=2cos3π2x=2×0x=0
Now, calculating y coordinate
y=2sin3π2y=2×−1y=−2
Thus, rectangular coordinate is (0,−2)
Conclusion:
Hence, polar coordinates of point on the graph matches with point D and rectangular coordinate is (0,−2)
Chapter 9 Solutions
Precalculus with Limits: A Graphing Approach
Ch. 9.1 - Prob. 1ECh. 9.1 - Prob. 2ECh. 9.1 - Prob. 3ECh. 9.1 - Prob. 4ECh. 9.1 - Prob. 5ECh. 9.1 - Prob. 6ECh. 9.1 - Prob. 7ECh. 9.1 - Prob. 8ECh. 9.1 - Prob. 9ECh. 9.1 - Prob. 10E
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Prob. 1CTCh. 9 - Prob. 2CTCh. 9 - Prob. 3CTCh. 9 - Prob. 4CTCh. 9 - Prob. 5CTCh. 9 - Prob. 6CTCh. 9 - Prob. 7CTCh. 9 - Prob. 8CTCh. 9 - Prob. 9CTCh. 9 - Prob. 10CTCh. 9 - Prob. 11CTCh. 9 - Prob. 12CTCh. 9 - Prob. 13CTCh. 9 - Prob. 14CTCh. 9 - Prob. 15CTCh. 9 - Prob. 16CTCh. 9 - Prob. 17CTCh. 9 - Prob. 18CTCh. 9 - Prob. 19CTCh. 9 - Prob. 20CTCh. 9 - Prob. 21CTCh. 9 - Prob. 22CTCh. 9 - Prob. 23CTCh. 9 - Prob. 24CTCh. 9 - Prob. 25CTCh. 9 - Prob. 1CLTCh. 9 - Prob. 2CLTCh. 9 - Prob. 3CLTCh. 9 - Prob. 4CLTCh. 9 - Prob. 5CLTCh. 9 - Prob. 6CLTCh. 9 - Prob. 7CLTCh. 9 - Prob. 8CLTCh. 9 - Prob. 9CLTCh. 9 - Prob. 10CLTCh. 9 - Prob. 11CLTCh. 9 - Prob. 12CLTCh. 9 - Prob. 13CLTCh. 9 - Prob. 14CLTCh. 9 - Prob. 15CLTCh. 9 - Prob. 16CLTCh. 9 - Prob. 17CLTCh. 9 - Prob. 18CLTCh. 9 - Prob. 19CLTCh. 9 - Prob. 20CLTCh. 9 - Prob. 21CLTCh. 9 - Prob. 22CLTCh. 9 - Prob. 23CLTCh. 9 - Prob. 24CLTCh. 9 - Prob. 25CLTCh. 9 - Prob. 26CLTCh. 9 - Prob. 27CLTCh. 9 - Prob. 28CLTCh. 9 - Prob. 29CLTCh. 9 - Prob. 30CLTCh. 9 - Prob. 31CLTCh. 9 - Prob. 32CLTCh. 9 - Prob. 33CLTCh. 9 - Prob. 34CLTCh. 9 - Prob. 35CLTCh. 9 - Prob. 36CLTCh. 9 - Prob. 37CLTCh. 9 - Prob. 38CLTCh. 9 - Prob. 39CLTCh. 9 - Prob. 40CLTCh. 9 - Prob. 41CLTCh. 9 - Prob. 42CLTCh. 9 - Prob. 43CLTCh. 9 - Prob. 44CLTCh. 9 - Prob. 45CLTCh. 9 - Prob. 46CLTCh. 9 - Prob. 47CLTCh. 9 - Prob. 48CLTCh. 9 - Prob. 49CLTCh. 9 - Prob. 50CLTCh. 9 - Prob. 51CLTCh. 9 - Prob. 52CLTCh. 9 - Prob. 53CLTCh. 9 - Prob. 54CLTCh. 9 - Prob. 55CLT
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