The $x ^ { \prime } y ^ { \prime }$

Multiple Choice

The $x ^ { \prime } y ^ { \prime }$ -coordinate system has been rotated $\theta$ degrees from the $x y$ -coordinate system.The coordinates of a point in the $x y$ -coordinate system are given.Find the coordinates of the point in the rotated coordinate system.​ $\theta = 30 ^ { \circ }$ , $( 2,6 )$ ​

A) $( \sqrt { 3 } + 3,3 \sqrt { 3 } + 1 )$
B) $( \sqrt { 3 } + 3,3 \sqrt { 3 } - 1 )$
C) $\left( \frac { 3 - \sqrt { 3 } } { 2 } , \frac { 3 \sqrt { 3 } + 1 } { 2 } \right)$
D) $( \sqrt { 3 } - 3,3 \sqrt { 3 } - 1 )$
E) $\left( \frac { 3 - \sqrt { 3 } } { 2 } , \frac { 3 \sqrt { 3 } + 3 } { 2 } \right)$