Answer
$ \frac{1}{2}$
Work Step by Step
$cos80^\circ cos20^\circ+sin80^\circ sin20^\circ=cos(80-20)^\circ
=cos(60)^\circ=\frac{1}{2}$
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.