Find the coordinates of a point on the unit circle at angle $ frac{pi}{3} $
Answer 1
Amelia Mitchell
The unit circle has a radius of 1. The coordinates of a point on the circle at angle $ \frac{\pi}{3} $ are given by:
$ (\cos(\frac{\pi}{3}), \sin(\frac{\pi}{3})) $
Therefore,
$ \cos(\frac{\pi}{3}) = \frac{1}{2} $
and
$ \sin(\frac{\pi}{3}) = \frac{\sqrt{3}}{2} $
Thus, the coordinates are:
$ (\frac{1}{2}, \frac{\sqrt{3}}{2}) $
Answer 2
Joseph Robinson
On the unit circle, the coordinates at angle $ frac{pi}{3} $ are:
$ (cos(frac{pi}{3}), sin(frac{pi}{3})) $
We know:
$ cos(frac{pi}{3}) = frac{1}{2} $
and
$ sin(frac{pi}{3}) = frac{sqrt{3}}{2} $
So, the coordinates are:
$ (frac{1}{2}, frac{sqrt{3}}{2}) $
Answer 3
Samuel Scott
The coordinates at angle $ frac{pi}{3} $ on the unit circle are:
$ (frac{1}{2}, frac{sqrt{3}}{2}) $
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