Find the Maclaurin Polynomial of Degree Two for the Function $f ( x ) = \sec ( 11 x )$

Multiple Choice

Find the Maclaurin polynomial of degree two for the function $f ( x ) = \sec ( 11 x )$

A) $P _ { 2 } ( x ) = 1 + \frac { 121 } { 4 } x ^ { 2 }$
B) $P _ { 2 } ( x ) = 1 - \frac { 121 } { 2 } x ^ { 2 }$
C) $P _ { 2 } ( x ) = 1 + \frac { 121 } { 2 } x ^ { 2 }$
D) $P _ { 2 } ( x ) = x + \frac { 121 } { 2 } x ^ { 2 }$
E) $P _ { 2 } ( x ) = x - \frac { 121 } { 2 } x ^ { 2 }$