Question: To rotate a set of points (x 1 , y 1 ), (x 2 , y 2 ), (x 3 , y 3 ), .

To rotate a set of points (x₁, y₁), (x₂, y₂), (x₃, y₃), . . . counterclockwise about the origin by angle θ, we multiply

cos0 -sin sin 0 cos X1 X2 X3 i

If a photo on a computer screen has corners at (4, 2), (−4, 2), (−4,−2), and (4,−2), find the coordinates of the corners after the photo has been rotated counterclockwise about the origin by 30°.

cos0 -sin sin 0 cos X1 X2 X3 i

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