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: 52

Answer

Quadrant II

Work Step by Step

By Definition I- $\sin\theta$ =$ \frac{y}{r}$ Given $\sin\theta$ is positive, hence y is positive as r being distance can not be negative. 'y' is positive in Quadrant I and II. $\cos\theta$ =$ \frac{x}{r}$ If $\cos\theta$ is negative, then x is negative as r being distance can not be negative. x is negative in Quadrant II and III only. Concluding from both of the above statements, both can be true only when terminal side lies in Quadrant II
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.