Explanation We have, the function f is periodic with period p , then f ( x ) = f ( x + p ) for all x Taking reciprocal of both sides, 1 f ( x ) = To determine b) To prove: The periods of cosecant and secant function are 2 π .

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN: 9781305071742

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

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Chapter 6.4, Problem 63E

To determine

a)

To prove:

If f is a periodic with period p, then the reciprocal of f is also periodic with period p.

To determine

b)

To prove:

The periods of cosecant and secant function are 2π.

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Chapter 6.4, Problem 62E

Chapter 6.4, Problem 64E

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a) To prove: If f is a periodic with period p , then the reciprocal of f is also periodic with period p .

Solution Summary: The author explains that the reciprocal of f is periodic with period p. The periods of cosecant and secant function are 2pi .

Videos

a)

To prove:

If f is a periodic with period p, then the reciprocal of f is also periodic with period p.

b)

To prove:

The periods of cosecant and secant function are 2π.

Want to see the full answer?

Chapter 6 Solutions

a) To prove: If f is a periodic with period p , then the reciprocal of f is also periodic with period p .

Solution Summary: The author explains that the reciprocal of f is periodic with period p. The periods of cosecant and secant function are 2pi .

Videos

a) To prove: If f is a periodic with period p, then the reciprocal of f is also periodic with period p.

b) To prove: The periods of cosecant and secant function are 2π.

Want to see the full answer?

Chapter 6 Solutions

a)

To prove:

If f is a periodic with period p, then the reciprocal of f is also periodic with period p.

b)

To prove:

The periods of cosecant and secant function are 2π.