Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 7 - 7.1 - Using Fundamental Identities - 7.1 Exercises - Page 514: 69


$tan~x~\rightarrow+\infty$ $cot~x~\rightarrow0^+$

Work Step by Step

As $x\rightarrow(\frac{\pi}{2})^-$, $sin~x\rightarrow1^-$ and $cos~x\rightarrow0^+$ Hence, as $x\rightarrow(\frac{\pi}{2})^-$: $tan~x\rightarrow\frac{1^-}{0^+}=+\infty$ $cot~x\rightarrow\frac{0^+}{1^-}=0^+$
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