H.W: replace the following polar equations by equivalent Cartesianequation, then describe or identify the graphs:1. rcos0 = 22. r sin 0 =-13. r= 4csc05. r =16. r =-sin 0-2cos e4. r=-3seceGraphing in polar coordinates:Symmetry:Symmetry tests for polar graphs.1. symmetry about the x- axis: If the point (r,0) lies on the graph, thepoint (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, thepoint (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) Yor (-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

Since you have posted here many subparts, i can answer only first 3. Please repost the remaining…

Answered: equation, then describe or identify the…

Math

Calculus

equation, then describe or identify the graphs: 1. rcos0=2 2. r sin 0=-1 3. r 4csc0

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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Equations and inequalities describe the relationship between two mathematical expressions.

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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

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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

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