Find an Equation for the Line Tangent to the Curve $$x = t + \cos t , y = 2 - \sin t , t = \frac { \pi } { 6 }$$

Multiple Choice

Find an equation for the line tangent to the curve at the point defined by the given value of t.
- $$x = t + \cos t , y = 2 - \sin t , t = \frac { \pi } { 6 }$$

A) $y = - \sqrt { 3 } x + \frac { 3 } { 2 }$
B) $y = - \sqrt { 2 } x - \frac { \sqrt { 2 } } { 4 } \pi + 2$
C) $y = - \sqrt { 3 } x + \frac { \sqrt { 3 } } { 6 } \pi + 3$
D) $y = \sqrt { 3 } x - \frac { \sqrt { 3 } } { 6 } \pi$