Answer
See below.
Work Step by Step
$LHS=\frac{1+tan(v)}{sec(v)}=\frac{1}{sec(v)}+\frac{tan(v)}{sec(v)}=cos(v)+sin(v)=RHS$
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.