Find the coordinates of the point at an angle of $ frac{pi}{3} $ on the unit circle
Answer 1
Emma Johnson
To find the coordinates of the point at an angle of $ \frac{\pi}{3} $ on the unit circle, we use the unit circle definition where the coordinates are given by $ (\cos\theta, \sin\theta) $.
For $ \theta = \frac{\pi}{3} $, we have:
$ \cos \left( \frac{\pi}{3} \right) = \frac{1}{2} $
$ \sin \left( \frac{\pi}{3} \right) = \frac{\sqrt{3}}{2} $
So, the coordinates are:
$ \left( \frac{1}{2}, \frac{\sqrt{3}}{2} \right) $
Answer 2
James Taylor
To find the coordinates at $ frac{pi}{3} $ on the unit circle, use $ (cos heta, sin heta) $:
$ cos left( frac{pi}{3}
ight) = frac{1}{2} $
$ sin left( frac{pi}{3}
ight) = frac{sqrt{3}}{2} $
Thus, the coordinates are:
$ left( frac{1}{2}, frac{sqrt{3}}{2}
ight) $
Answer 3
Michael Moore
At $ frac{pi}{3} $, the coordinates on the unit circle are:
$ left( cos left( frac{pi}{3}
ight), sin left( frac{pi}{3}
ight)
ight) $
$ left( frac{1}{2}, frac{sqrt{3}}{2}
ight) $
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