Answer
$ 1-\sqrt 2$
Work Step by Step
$tan(\frac{7\pi}{8})=\frac{1-cos(\frac{7\pi}{4})}{sin(\frac{7\pi}{4})}=\frac{1-\frac{\sqrt 2}{2}}{-\frac{\sqrt 2}{2}}=1-\sqrt 2$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 7 - Analytic Trigonometry - 7.6 Double-angle and Half-angle Formulas - 7.6 Assess Your Understanding - Page 497: 23
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter 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.
