How do you find the exact value of sin Pi/3?

1 Answer
Cesareo R.
Oct 7, 2016

#sqrt(3)/2#

Explanation:

Think of a regular hexagon. It can be inscribed into a circle, with each vertice touching the circumference between sectors of #pi/3# each.
The regular hexagon is composed of #6# contiguous equilateral triangles. For an equilateral triangle, the height is #h = rsqrt(1-(1/2)^2) = r sqrt(3)/2#.Here #r# is the circumscribed circle which is equal to the equilateral triangle side.
Finally #sin(pi/3) = h/r = sqrt(3)/2#

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