Given the polar equation r = 1 + 2cos θ. i. Show that the graph of the equation is symmetrical to the x-axis ii. Use part (i.) to construct a table for (r, θ) with appropriate values of θ and sketch the graph of r = 1 + 2 cos θ. (Use the polar grid provided). iii. Sketch the graph r = 2 sin θ on the same diagram as in part (ii.).
Given the polar equation r = 1 + 2cos θ. i. Show that the graph of the equation is symmetrical to the x-axis ii. Use part (i.) to construct a table for (r, θ) with appropriate values of θ and sketch the graph of r = 1 + 2 cos θ. (Use the polar grid provided). iii. Sketch the graph r = 2 sin θ on the same diagram as in part (ii.).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Given the polar equation
r = 1 + 2cos θ.
i. Show that the graph of the equation is symmetrical to the x-axis
ii. Use part (i.) to construct a table for (r, θ) with appropriate values of θ and sketch the graph of
r = 1 + 2 cos θ.
(Use the polar grid provided).
iii. Sketch the graph r = 2 sin θ on the same diagram as in part (ii.).
Transcribed Image Text:90°
105°
75°
120°
60°
135°
45°
150°
30°
165°
15°
180°
0°
195°
345°
210°
330
225°
315
240
300
255°
285°
270
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