Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 4 - Graphs of the Circular Functions - Section 4.3 Graphs of the Tangent and Cotangent Functions - 4.3 Exercises - Page 172: 40


$f(x) = -2~cot~x$

Work Step by Step

When $x = 0$, there is an asymptote. This is the graph for a cotangent function. Compared with a standard cotangent function, the positive and negative values are reflected about the x-axis, so this is the graph for a negative cotangent function. The magnitude of the value of the function at $x = \frac{3\pi}{4}$ is 2, which is twice the value of the standard cotangent function. Therefore, we need to multiply by a factor of 2. The equation for this graph is: $f(x) = -2~cot~x$
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.