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 - Page 31: 4

Answer

$\tan\theta$ and $\cot\theta$ are independent of the value of r.

Work Step by Step

By Definition I- $\tan\theta$ =$ \frac{y}{x}$ Hence it does not depend on the value of r. $\cot\theta$ =$ \frac{x}{y}$ Hence it also does not depend on the value of r. $\sin\theta$ =$ \frac{y}{r}$ Hence it depends on the value of r. $\cos\theta$ =$ \frac{x}{r}$ Hence it depends on the value of r. $\sec\theta$ =$ \frac{r}{x}$ Hence it depends on the value of r. $\csc\theta$ =$ \frac{r}{y}$ Hence it depends on the value of r.
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