Points lie on the unit circle and correspond respectively to the angles .
MATHEMATICS · Multi-part · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions
Problem
Points P0,P1,P2,P3,P4 lie on the unit circle and correspond respectively to the angles 0∘,30∘,45∘,60∘,90∘.
(a) Write the coordinates of each point Pk, k=0,1,2,3,4.
(b) Calculate the arithmetic mean of the x-coordinates of these five points. Express your answer in simplest form.
(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.