Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 1 - Section 1.3 - Definition I: Trigonometric Functions - 1.3 Problem Set: 41

Answer

From $0^o$ to $90^o$, the angle $\theta$ increases, the value of $\tan{\theta}$ tends toward positive infinity.

Work Step by Step

The tangent function is increasing in the interval $(0, 90)$ and is undefined when $\theta=90^o$. The graph of tangent is asymptotic to the line $\theta=90^o$. Thus, as $\theta$ approaches $90^o$, the value of tangent gets bigger and bigger without bound. Therefore, as the angle $\theta$ increases from $0^o$ to $90^o$, the value of tangent approaches positive infinity.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.