Rotate the point (2,3)(2, 3)(2,3) by 60∘60^\circ60∘ counter-clockwise about the origin.
(2,3)(2, 3)(2,3)
(2cos(60∘)−3sin(60∘),2sin(60∘)+3cos(60∘))(2\cos(60^\circ) - 3\sin(60^\circ), 2\sin(60^\circ) + 3\cos(60^\circ))(2cos(60∘)−3sin(60∘),2sin(60∘)+3cos(60∘))
(3,2)(3, 2)(3,2)
(−2,−3)(-2, -3)(−2,−3)