Find the coordinates on the unit circle at an angle of $ frac{pi}{3} $
Answer 1
To find the coordinates on the unit circle at an angle of $ \frac{\pi}{3} $, we use the unit circle definition:
$ (\cos(\theta), \sin(\theta)) $
For $ \theta = \frac{\pi}{3} $:
$ \cos\left(\frac{\pi}{3}\right) = \frac{1}{2} $
$ \sin\left(\frac{\pi}{3}\right) = \frac{\sqrt{3}}{2} $
The coordinates are:
$ \left( \frac{1}{2}, \frac{\sqrt{3}}{2} \right) $
Answer 2
To find the coordinates on the unit circle at an angle of $ frac{pi}{3} $, use the unit circle formula:
$ (cos( heta), sin( heta)) $
At $ heta = frac{pi}{3} $:
$ cosleft(frac{pi}{3}
ight) = frac{1}{2} $
$ sinleft(frac{pi}{3}
ight) = frac{sqrt{3}}{2} $
Coordinates are:
$ left( frac{1}{2}, frac{sqrt{3}}{2}
ight) $
Answer 3
Find the coordinates on the unit circle at an angle of $ frac{pi}{3} $:
$ left( frac{1}{2}, frac{sqrt{3}}{2}
ight) $
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