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# Find the values of the trigonometric function $\tan \large\frac{19\pi}{3}$

$\begin{array}{1 1}(A)\;-\sqrt 3&(B)\;-\large\frac{1}{\sqrt 3}\\(C)\;\sqrt 3&(D)\;\large\frac{1}{\sqrt 3}\end{array}$

Can you answer this question?

We know that values of $\tan x$ repeats after an interval of $2\pi$ or $360^{\large\circ}$
$\tan \large\frac{19\pi}{3}$$=\tan (6\pi+\large\frac{\pi}{3}) \Rightarrow \tan \large\frac{\pi}{3}$$=\sqrt 3$
Hence (C) is the correct answer.
answered Apr 17, 2014