If the coordinate axes are rotated counter-clockwise by an angle θ, the new coordinates (X, Y) of a point are expressed in terms of its original coordinates (x, y) by which set of equations?

X = x cosθ - y sinθ, Y = x sinθ + y cosθ

X = x cosθ + y sinθ, Y = -x sinθ + y cosθ

X = x sinθ + y cosθ, Y = x cosθ - y sinθ

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If the coordinate axes are rotated counter-clockwise by... | Mathematics MCQ #97 | Examora | Examora