Trigonometry 7th Edition

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

Chapter 2 - Section 2.2 - Calculators and Trigonometric Functions of an Acute Angle - 2.2 Problem Set - Page 72: 84


The calculator displays an error message. This is because ratio cotangent is not defined for angle $0^{\circ}$.

Work Step by Step

In degree mode, the calculator on pressing $0$ first and then $tan$, displays an error message. Let's try finding value of $\cot 0^{\circ}$ by an alternate method- $\cot 0^{\circ}$ = $\frac{\cos 0^{\circ}}{\sin 0^{\circ}}$ (ratio identity) Now from table, substituting the values of $\cos 0^{\circ}$ and $\sin 0^{\circ}$- $\cot 0^{\circ}$ = $\frac{1}{0}$ Thus $\cot 0^{\circ}$ becomes undefined because division by zero is not defined. Calculators are also programmed accordingly.
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.