Prove that for integers m and n, the curve r(t)= (a sin mt cos nt, b sin

Question:

Prove that for integers m and n, the curve

r(t)= (a sin mt cos nt, b sin mt sin nt, c cos mt)

lies on the surface of a sphere provided a2 = b2 = c2.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

Question Posted: