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Q. 4

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Precalculus Enhanced with Graphing Utilities

Found in: Page 889

Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

Name the trigonometric functions that have asymptotes.

The trigonometric functions are $\tan x, s e c x, c s c x, s e c x$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given information

Given trigonometric function

Step 2: Checking the asymptotes

For $y = \tan x$ , the asymptotes are $x = \dots, - \frac{3 π}{2}, - \frac{π}{2}, \frac{π}{2}, \frac{3 π}{2}, \dots$

For $y = c o t x$ , the asymptotes are $x = \dots, - 2 π, - π, 0, π, 2 π, \dots$

For $y = c s c x$ , the asymptotes are $x = \dots, - 2 π, - π, 0, π, 2 π, \dots$

For $y = s e c x$ , the asymptotes are $x = \dots, - \frac{3 π}{2}, - \frac{π}{2}, \frac{π}{2}, \frac{3 π}{2}, \dots$

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