Use the Graph of F to Find the Simplest Expression $f ( x ) = \frac { \sin 4 t + \sin 5 t + \sin 6 t } { \cos 4 t + \cos 5 t + \cos 6 t }$

Multiple Choice

Use the graph of f to find the simplest expression g(x) such that the equation f (x) = g (x) is an identity. $f ( x ) = \frac { \sin 4 t + \sin 5 t + \sin 6 t } { \cos 4 t + \cos 5 t + \cos 6 t }$

A) $g ( x ) = \cot ( 5 x )$
B) $g ( x ) = \tan ( 5 x )$
C) $g ( x ) = \cot ( 6 x )$
D) $g ( x ) = \tan ( 6 x )$
E) $g ( x ) = \tan ( 4 x )$