Points P0,P1,P2,P3,P4 lie on the unit circle and correspond respectively to the angles 0∘,30∘,45∘,60∘,90∘.
a. (a) Write the coordinates of each point Pk, k=0,1,2,3,4.
b. (b) Calculate the arithmetic mean of the x-coordinates of these five points. Express your answer in simplest form.
c. (c) Interpret the result obtained in part (b) with respect to the distribution of the points around the first-quadrant arc of the unit circle.