Find the Maclaurin Polynomial of Degree 5 for the Function $f ( x ) = \sin ( 2 x )$

Multiple Choice

Find the Maclaurin polynomial of degree 5 for the function. $f ( x ) = \sin ( 2 x )$

A) $2 x - \frac { 4 } { 3 } x ^ { 3 } + \frac { 4 } { 15 } x ^ { 5 }$
B) $2 + \frac { 4 } { 3 } x ^ { 2 } + \frac { 2 } { 3 } x ^ { 2 }$
C) $2 x - \frac { 8 } { 3 } x ^ { 3 } + \frac { 32 } { 5 } x ^ { 5 }$
D) $2 x - \frac { 4 } { 3 } x ^ { 3 } + \frac { 2 } { 3 } x ^ { 5 }$
E) $2 x + \frac { 4 } { 3 } x ^ { 3 } + \frac { 4 } { 15 } x ^ { 5 }$