Answer
$x=Xcos\phi-Ysin\phi, y=Xsin\phi+Ycos\phi$
$X=x\cdot cos\phi + y\cdot sin\phi, Y=-x\cdot sin\phi + y\cdot cos\phi$
Work Step by Step
Answer this question using the formulas given in this section. The relationship between the coordinates of rotated systems are given by:
$x=Xcos\phi-Ysin\phi, y=Xsin\phi+Ycos\phi$
and the reverse transformations are given by:
$X=x\cdot cos\phi + y\cdot sin\phi, Y=-x\cdot sin\phi + y\cdot cos\phi$
