Show that the polar equation r 2 2r(a cos b sin ) R 2 a 2 b 2 describes a circle of radius R centered at (a, b) ...

Let x r cos and y rsin 0 so that r x y The ...

Show that the polar equation r 2 - 2r(a cos + b sin ) = R

Question:

Show that the polar equation

r² - 2r(a cos θ + b sin θ) = R² - a² - b²

describes a circle of radius R centered at (a, b).

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Related Book For answer-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Show that the polar equation r 2 - 2r(a cos + b sin ) = R

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Let x r cos and y rsin 0 so that r x y The...View the full answer

Calculus Early Transcendentals

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