Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter8: Complex Numbers And Polarcoordinates
Section: Chapter Questions
Problem 7GP
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![H.W: replace the following polar equations by equivalent Cartesian
equation, then describe or identify the graphs:
1. rcos0 = 2
2. r sin 0 =-1
3. r= 4csc0
5. r =1
6. r =-
sin 0-2cos e
4. r=-3sece
Graphing in polar coordinates:
Symmetry:
Symmetry tests for polar graphs.
1. symmetry about the x- axis: If the point (r,0) lies on the graph, the
point (r,-0) or (-r,7-0) lies on the graph.
2. symmetry about the y-axis: If the point (r,0) lies on the graph, the
point (r,7-0)or (-r.-0) lies on the graph.
3. symmetry about the origin: If the point (r,0) lies on the graph, the point
(-r.0) or(r,0-7) lies on the graph.
6, -0) Y
or (-r.-)
(r. e)
r, 0)
(r.e)
or (-r, w - )
(-r.0) or (r.0+ m l
(a) About the x-uxis
(b) About the yaxis
() About the origin](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb871b03-46d6-4f02-b058-d2e8298458a6%2F60ae3d47-b8c3-43b9-95d6-1094044688ae%2Fvsnti2o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:H.W: replace the following polar equations by equivalent Cartesian
equation, then describe or identify the graphs:
1. rcos0 = 2
2. r sin 0 =-1
3. r= 4csc0
5. r =1
6. r =-
sin 0-2cos e
4. r=-3sece
Graphing in polar coordinates:
Symmetry:
Symmetry tests for polar graphs.
1. symmetry about the x- axis: If the point (r,0) lies on the graph, the
point (r,-0) or (-r,7-0) lies on the graph.
2. symmetry about the y-axis: If the point (r,0) lies on the graph, the
point (r,7-0)or (-r.-0) lies on the graph.
3. symmetry about the origin: If the point (r,0) lies on the graph, the point
(-r.0) or(r,0-7) lies on the graph.
6, -0) Y
or (-r.-)
(r. e)
r, 0)
(r.e)
or (-r, w - )
(-r.0) or (r.0+ m l
(a) About the x-uxis
(b) About the yaxis
() About the origin
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