Prove that the equations x = a cos t + b sin t, y = c cos

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Prove that the equations

x = a cos t + b sin t, y = c cos t + d sin t,

where a, b, c, and d are real numbers, describe a circle of radius R provided a2 + c2 = b2 + d2 = R2 and ab + cd = 0.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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