First we will fill the table
t x=cos t y=sin t (x,y)
0 1 0 (1, 0)
π/4 0.707 0.707 (0.707,0.707)
π/2 0 1 (0,1)
3π/4 -0.707 0.707 (-0.707,0.707)
π -1 0 (-1,0)
5π/4 -0.707 -0.707 (-0.707,-0.707)
3π/2 0 -1 (0,-1)
7π/4 0.707 -0.707 (0.707,-0.707)
2π 1 0 (1,0)
Then we graph each ordered pair and we obtain the graph of the unit circle