Given the polar equation r = 1 + 2 cos 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 θand sketch the graph of r = 1 + 2 cos θ.(Use the polar gridiii. Sketch the graph r = 2 sin θ on the same diagram as in part (ii.).iv. Find the intersection points between the curves r = 1 + 2 cos θ andr = 2 sin θ. Given the polar equation r =1+2 cos 0.i. Show that the graph of the equation is symmetrical to the x-axis.ii. Use part (i.) to construct a table for (r, 0) with appropriate values of 0and sketch the graph of r = 1+2 cos 0.(Use the polar gridiii. Sketch the graph r2 sin 0 on the same diagram as in part (ii.).iv. Find the intersection points between the curves r =1+2 cos 0 and= 2 sin 0.

Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Given the polar equation r = 1+2 cos 0. i. Show that the graph of the equation is symmetrical to the x-axis. ii. Use part (i.) to construct a table for (r, 0) with appropriate values of 0 and sketch the graph of r = 1+2 cos 0. (Use the polar grid iii. Sketch the graph r = 2 sin 0 on the same diagram as in part (ii.). iv. Find the intersection points between the curves r = 1+ 2 cos 0 and r = 2 sin 0.

Given the polar equation r = 1+2 cos 0. i. Show that the graph of the equation is symmetrical to the x-axis. ii. Use part (i.) to construct a table for (r, 0) with appropriate values of 0 and sketch the graph of r = 1+2 cos 0. (Use the polar grid iii. Sketch the graph r = 2 sin 0 on the same diagram as in part (ii.). iv. Find the intersection points between the curves r = 1+ 2 cos 0 and r = 2 sin 0.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.5: Polar Coordinates

Problem 85E

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Question

Given the polar equation r = 1 + 2 cos 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
iii. Sketch the graph r = 2 sin θ on the same diagram as in part (ii.).
iv. Find the intersection points between the curves r = 1 + 2 cos θ and
r = 2 sin θ.