Answer
See below.
Work Step by Step
$LHS=tan(\frac{\theta}{2})=\frac{1-cos\theta}{sin\theta}=\frac{1}{sin\theta}-\frac{cos\theta}{sin\theta}=csc\theta-cot\theta=RHS$
Here $\theta=v$
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.