Let P be the image of the point (–3, 2) with respect to x-axis. Keeping the origin as same, the coordinate axes are rotated through an angle 60° in the clockwise sense. The coordinates of point P with respect to the new axes are

Since P is the image of the point (–3, 2) with respect to x-axis, therefore, the coordinates of P are (–3, –2).Let (x′, y′ ) be the coordinates of P with respect to new axes. Then,x'=x cos α+y sin α=-3cos(-600)-2 sin(-600)=-32+3=23-32y'=x sin α+y cos α=3 sin(-600)-2 cos(-600)=33+22∴ Coordinates of P are 23-32,-33+22