Problem

Conjecture Let (x1, y1) and (x2, y2) be points on the unit circle corresponding to t = t1,...

Conjecture Let (x1, y1) and (x2, y2) be points on the unit circle corresponding to t = t1, and t = πt1, respectively.

(a) Identify the symmetry of the points (x1, y1) and (x2, y2).


(b) Make a conjecture about any relationship between sin t1, and sin(πt1).


(c) Make a conjecture about any relationship between cos t1, and cos(πt1).

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