Use the Graph of F to Find the Simplest Expression $f ( x ) = g ( x )$

Use the graph of f to find the simplest expression g(x) such that the equation $f ( x ) = g ( x )$ is an identity. $f ( x ) = \frac { \sin 2 x + \sin x } { \cos 2 x + \cos x + 1 }$

A) $g ( x ) = \cos x$
B) $g ( x ) = \tan x$
C) $g ( x ) = \sec x$
D) $g ( x ) = \cot x$
E) $g ( x ) = \sin x$

Correct Answer:

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