Find the coordinates of a point on the unit circle that corresponds to an angle of $ frac{pi}{3} $ radians
Answer 1
Emma Johnson
To find the coordinates of a point on the unit circle corresponding to an angle of $ \frac{\pi}{3} $ radians:
We can use the unit circle definitions for sine and cosine.
$ x = \cos \left( \frac{\pi}{3} \right) $
$ y = \sin \left( \frac{\pi}{3} \right) $
Since $ \cos \left( \frac{\pi}{3} \right) = \frac{1}{2} $ and $ \sin \left( \frac{\pi}{3} \right) = \frac{\sqrt{3}}{2} $, the coordinates are:
$ \left( \frac{1}{2}, \frac{\sqrt{3}}{2} \right) $
Answer 2
James Taylor
To find the coordinates at an angle of $ frac{pi}{3} $ radians on the unit circle:
Utilize the cosine and sine values:
$ x = cos left( frac{pi}{3}
ight) = frac{1}{2} $
$ y = sin left( frac{pi}{3}
ight) = frac{sqrt{3}}{2} $
So, the coordinates are:
$ left( frac{1}{2}, frac{sqrt{3}}{2}
ight) $
Answer 3
William King
At an angle of $ frac{pi}{3} $ radians:
$ cos left( frac{pi}{3}
ight) = frac{1}{2} $
$ sin left( frac{pi}{3}
ight) = frac{sqrt{3}}{2} $
The coordinates are:
$ left( frac{1}{2}, frac{sqrt{3}}{2}
ight) $
Start Using PopAi Today