Question

please help me verify tan(2 pi-x)=-tanx using the difference formula for tan

Answer 1

http://www.mathwords.com/s/s_assets/sum%20difference%20identities%20tangent.gif

Answer 2

\(\bf tan(2\pi -x) = -tan(x)\\ \quad \\ \quad \\
tan(2\pi -x) =\cfrac{tan(2\pi)-tan(x)}{1+tan(2\pi)tan(x)}\\ \quad \\
\textit{so, what's}\quad tan(2\pi)\quad ?
\)

Answer 3

Wow ok! I must have just been over thinking it. Thanks!