Use the Conversion Formula $\cos x = \sin \left( \frac { \pi } { 2 } - x \right)$

Multiple Choice

Use the conversion formula $\cos x = \sin \left( \frac { \pi } { 2 } - x \right)$ to replace the expression $g ( x ) = 25 \cos [ 2 \pi ( 3 x - 1 ) ] + 9$
By a sine function.

A) $g ( x ) = 25 \sin \left( 6 \pi x + \frac { 5 \pi } { 2 } \right) - 9 + \frac { \pi } { 2 }$
B) $g ( x ) = 25 \sin \left( 6 \pi x - \frac { 5 \pi } { 2 } \right) + 9$
C) $g ( x ) = 25 \sin \left( - 6 \pi x - \frac { 5 \pi } { 2 } \right) + 9$
D) $g ( x ) = 25 \sin \left( - 6 \pi x + \frac { 5 \pi } { 2 } \right) + 9$
E) $g ( x ) = 25 \sin \left( 12 \pi x + \frac { 3 \pi } { 2 } \right) + 9$