Answer
$ \frac{\sqrt {2-\sqrt 2}}{2}$
Work Step by Step
$cos(-\frac{3\pi}{8})=cos(\frac{3\pi}{8})=\sqrt {\frac{1+cos(\frac{3\pi}{4})}{2}}=\sqrt {\frac{1-\frac{\sqrt 2}{2}}{2}}=\frac{\sqrt {2-\sqrt 2}}{2}$
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.