Put every angle and every (cos θ, sin θ) pair on its spot. Pick a chip, then tap the point on the circle, or tap the point first. 32 placements in all.
Drill: an angle or a (cos θ, sin θ) pair appears, and you tap its point on the circle. All 16 angles and 16 coordinate pairs come up once each before any repeats. Every answer shows the point's exact values.
Coordinates are the exact special values; verify against your class reference sheet. Your best run saves in your browser.