In this exercise, youll use the unit circle definitions of
Chapter 6, Problem 91(choose chapter or problem)
In this exercise, youll use the unit circle definitions of sine and cosine, along with the identity to prove a surprising geometric result. In the figure at the right, we show an equilateral triangle inscribed in the unit circle Prove that for any point P on the unit circle, the sum of the squares of the distances from P to the three vertices is 6. Hint: Let the coordinates of P be (cos u, sin u)
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