If the coordinate axes are rotated counter-clockwise by an angle θ, which of the following formulas correctly expresses the new coordinates (x', y') of a point in terms of its original coordinates (x, y)?

(x sin θ + y cos θ, -x sin θ + y cos θ)

(x cos θ + y sin θ, -x sin θ + y cos θ)

(x sin θ + y sin θ, -x cos θ + y cos θ)

(x cos θ + y cos θ, -x sin θ + y sin θ)

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If the coordinate axes are rotated counter-clockwise by... | Mathematics MCQ #188 | Examora | Examora