Consider the polar equation r = 16 cos(0) – 12 sin(0). (a) Convert the given polar equation to a Cartesian equation in terms of x and y. (b) Spoiler: The graph of the given equation is a circle! Given that, determine the x and y coordinates of the centre of this circle, as well as its radius: x-coordinate of the centre: Number y-coordinate of the centre: Number radius of the circle: Number

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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Consider the polar equationr=
16 cos(8) – 12 sin(0).
(a) Convert the given polar equation to a Cartesian equation in terms of x and y.
(b) Spoiler: The graph of the given equation is a circle! Given that, determine the x and y coordinates of the centre of this circle, as well as its radius:
X-coordinate of the centre: Number
Y-coordinate of the centre: Number
radius of the circle: Number
Transcribed Image Text:Consider the polar equationr= 16 cos(8) – 12 sin(0). (a) Convert the given polar equation to a Cartesian equation in terms of x and y. (b) Spoiler: The graph of the given equation is a circle! Given that, determine the x and y coordinates of the centre of this circle, as well as its radius: X-coordinate of the centre: Number Y-coordinate of the centre: Number radius of the circle: Number
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