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The xyx ^ { \prime } y ^ { \prime }

Question 1

Multiple Choice

The xyx ^ { \prime } y ^ { \prime } -coordinate system has been rotated θ\theta degrees from the xyx y -coordinate system.The coordinates of a point in the xyx y -coordinate system are given.Find the coordinates of the point in the rotated coordinate system.​ θ=30\theta = 30 ^ { \circ } , (1,3) ( 1,3 )


A) (332,33+32) \left( \frac { 3 - \sqrt { 3 } } { 2 } , \frac { 3 \sqrt { 3 } + 3 } { 2 } \right)
B) (332,33+12) \left( \frac { 3 - \sqrt { 3 } } { 2 } , \frac { 3 \sqrt { 3 } + 1 } { 2 } \right)
C) (3+32,3312) \left( \frac { 3 + \sqrt { 3 } } { 2 } , \frac { 3 \sqrt { 3 } - 1 } { 2 } \right)
D) (3+32,33+12) \left( \frac { 3 + \sqrt { 3 } } { 2 } , \frac { 3 \sqrt { 3 } + 1 } { 2 } \right)
E) (332,3312) \left( \frac { 3 - \sqrt { 3 } } { 2 } , \frac { 3 \sqrt { 3 } - 1 } { 2 } \right)

Correct Answer:

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