Answer
False.
Work Step by Step
False. $tan(2\theta)+tan(2\theta)=2tan(2\theta)\ne tan(4\theta)$ for many $\theta$ values.
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.