Given that a polar equation r = 3 sin(2θ). a. Show that the graph is symmetrical about x-axis, y-axis and origin. b. Using information in part (i), construct a table (r, θ) with appropriate values for r = 3 sin(2θ). Hence, sketch the polar curve on the given polar grid. c. Find the points of intersection in the form of (r, θ), between the polar equations r = 3 sin(2θ) and r = 2 cos θ.
Given that a polar equation r = 3 sin(2θ). a. Show that the graph is symmetrical about x-axis, y-axis and origin. b. Using information in part (i), construct a table (r, θ) with appropriate values for r = 3 sin(2θ). Hence, sketch the polar curve on the given polar grid. c. Find the points of intersection in the form of (r, θ), between the polar equations r = 3 sin(2θ) and r = 2 cos θ.
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter83: Location Of Points
Section: Chapter Questions
Problem 13A: The following figure shows three equally spaced holes on a bolt circle circumference. Give the polar...
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Given that a polar equation r = 3 sin(2θ).
a. Show that the graph is symmetrical about x-axis, y-axis and
origin.
b. Using information in part (i), construct a table (r, θ) with
appropriate values for r = 3 sin(2θ). Hence, sketch the polar curve
on the given polar grid.
c. Find the points of intersection in the form of (r, θ), between the
polar equations r = 3 sin(2θ) and r = 2 cos θ.
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