Let $x ( t ) = t + \sin t , y ( t ) = \cos t$

Multiple Choice

Let $x ( t ) = t + \sin t , y ( t ) = \cos t$ be the parametric equations of a curve. Then $\frac { d y } { d x }$ is

A) $\frac { \sin t } { 1 + \cos t }$
B) $- \frac { \sin t } { 1 - \cos t }$
C) $- \frac { \cos t } { 1 + \sin t }$
D) $\frac { \sin t } { 1 - \cos t }$
E) $- \frac { \sin t } { 1 + \cos t }$