Answer
$\frac{\sqrt 6+\sqrt 2}{4}$
Work Step by Step
$sin105^\circ=sin(60^\circ+45^\circ)=sin60^\circ cos45^\circ+cos60^\circ sin45^\circ=(\frac{\sqrt 3}{2})(\frac{\sqrt 2}{2})+(\frac{1}{2})(\frac{\sqrt 2}{2})=\frac{\sqrt 6+\sqrt 2}{4}$
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 - 7.5 Sum and Difference Formulas - 7.5 Assess Your Understanding - Page 487: 14
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.
