SOLUTION: An equilateral triangle is inscribed in the circle of radius 1 centered at the origin (the unit circle). If one of the vertices is (1, 0), what are the coordinates of the other two

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Question 1155150: An equilateral triangle is inscribed in the circle of radius 1 centered at the origin (the unit circle). If one of the vertices is (1, 0), what are the coordinates of the other two? The three points divide the circle into three arcs; what are the angular sizes of these arcs?
Answer by ikleyn(52814)   (Show Source): You can put this solution on YOUR website!
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The argument (the polar angle) for the first point (first vertex of the triangle) is 0°.


The argument for the second point (second vertex of the triangle) is   = 120°.


The argument for the third point (third vertex of the triangle) is   = 240°.


The coordinates for the first point are (1,0).


The coordinates for the second point are  (cos(120°,sin(120°)) = (,).


The coordinates for the third point are  (cos(120°,sin(120°)) = (,).

Answered and solved.



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