Step-by-step explanation:
[tex] \tan( \frac{7\pi}{6} ) \\ = \tan( \pi + \frac{\pi}{ 6} ) \\ = \tan( \frac{\pi}{6} ) [/tex]
as this angle lies in the third quadrant and tan x is positive in the third quad.
[tex] = \frac{1}{ \sqrt{3} } \\ as \: the \: value \: of \: \tan( \frac{\pi}{6} ) = \frac{1}{ \sqrt{3} } \\
\frac{1}{ \sqrt{3} } ×\frac{\sqrt{3}}{ \sqrt{3} }\\
= \frac{\sqrt{3} }{ 3 } [/tex]
option 4.
as when u multiply both the numerator and denominator by root 3 u get the desired result
