A 30 degree central angle is in central position in a circle with a radius of 7 square roots of 5 (245). What are the coordinates of the point where the terminal ray intersects the cicrle?
construct a right angled triangle
and call the point at the circle (x,y)
then sin30 = y/7√5
y = (1/2)(7√5) = 7√5/2
cos30 = x/7√5
x = (√3/2)(7√5) = 7√15/2