Suppose an ant is sitting on the perimeter of the unit circle at the point (1,0). if the ant travels a distance of 2π3 in the counter-clockwise direction, then the coordinates of the point where the ant stops will be

Answer:The coordinates of the point where ant stopped will be (0,1)Step-by-step explanation:Given an ant is sitting on the perimeter of the unit circle at the point (1,0). If the ant travels a distance of [tex]2\pi^3[/tex] in the counter-clockwise direction, we have to find the coordinates of point where ant stops.The ant is sitting at point A.The circumference of unit circle=2πr=2π(1)=2π unitsNow given ant travel a distance of [tex]2\pi^3[/tex].We have to find the circles completed to find the coordinates of the point.In order to find circles we have to divide by 2π [tex]\frac{2\pi^3}{2\pi}=\pi^2[/tex]       (First circle)[tex]\frac{\pi^2}{2\pi}=\frac{\pi}{2}[/tex]    (Second circle)First circle is completely covered then first quadrant of second circle is completed.Hence, the coordinates of the point where ant stopped will be (0,1)