Determine The $\overline { X Y }$ - Coordinates Of $( - 2,5 )$

question 22

Multiple Choice

Determine the $\overline { X Y }$ - coordinates of $( - 2,5 )$
If the axes are rotated through an angle $\phi = 30 ^ { \circ }$

• A) \(X = \frac { 5 - 2 \sqrt { 3 } } { 2 }\)
• , \(Y = \frac { 2 + 5 \sqrt { 3 } } { 2 }\)
• B) \(X = \frac { 2 \sqrt { 3 } } { 2 }\)
• , \(Y = 1 - \frac { 5 \sqrt { 3 } } { 2 }\)
• C) \(X = 5 - 2 \sqrt { 3 }\)
• , \(Y = 1 + \frac { \sqrt { 3 } } { 2 }\)
• D) \(X = \frac { 5 - 2 \sqrt { 3 } } { 2 }\)
• , \(Y = \frac { \sqrt { 3 } + 5 } { 2 }\)
• E) \(X = \frac { 1 + 2 \sqrt { 3 } } { 2 }\)
• , \(Y = - 5 + \frac { \sqrt { 3 } } { 2 }\)

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