Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 5 - Section 5.2 - Trigonometric Functions of Real Numbers - 5.2 Exercises - Page 417: 29

Answer

$\sin{t} = \frac{2\sqrt{2}}{3}$ $\cos{t} = -\frac{1}{3}$ $\tan{t} = -2\sqrt2$

Work Step by Step

RECALL: For the terminal point P(x, y) on a unit circle, $\sin{t} = y, \cos{t} = x, \text{ and } \tan{t} = \frac{y}{x}, x\ne0$ Use the formulas above to obtain: $\sin{t} = \frac{2\sqrt{2}}{3}$ $\cos{t} = -\frac{1}{3}$ $\tan{t} = \dfrac{\frac{2\sqrt2}{3}}{-\frac{1}{3}} = \dfrac{2\sqrt2}{3} \cdot \left(-\dfrac{3}{1}\right)=-2\sqrt2$
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.