Find an Equation for the Line Tangent to the Curve $$x = 4 \sin t , y = 4 \cos t , t = \frac { 3 \pi } { 4 }$$

Multiple Choice

Find an equation for the line tangent to the curve at the point defined by the given value of t.
- $$x = 4 \sin t , y = 4 \cos t , t = \frac { 3 \pi } { 4 }$$

A) $y = x - 4 \sqrt { 2 }$
B) $y = 4 x + 4 \sqrt { 2 }$
C) $y = - x + 4 \sqrt { 2 }$
D) $y = 4 \sqrt { 2 } x + 1$