Equivalent descriptions Find real numbers a and b such

Chapter 8, Problem 75E

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QUESTION:

Find real numbers a and b such that equations A and B describe the same curve.

\(A:\ x=10 \sin t,\ y=10 \cos t;\ \ 0\ \leq\ t\ \leq\ 2\pi\)

\(B:\ x=10 \sin 3t,\ y=10 \cos 3t;\ \ a\ \leq\ t\ \leq\ b\)

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QUESTION:

Find real numbers a and b such that equations A and B describe the same curve.

\(A:\ x=10 \sin t,\ y=10 \cos t;\ \ 0\ \leq\ t\ \leq\ 2\pi\)

\(B:\ x=10 \sin 3t,\ y=10 \cos 3t;\ \ a\ \leq\ t\ \leq\ b\)

ANSWER:

Solution  75E

Given curves are

A: x = 10 sint , y = 10 sint, 0

B:  x = 10 sin3t, y = 10cos3t, a

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