Find the coordinates of the point on the unit circle where the angle is $ frac{pi}{4} $ radians
Answer 1
Lucas Brown
To find the coordinates of the point on the unit circle where the angle is $ \frac{\pi}{4} $ radians, we use the unit circle definition:
The coordinates at this angle are:
$ \left( \cos \frac{\pi}{4} , \sin \frac{\pi}{4} \right) $
Using known values:
$ \cos \frac{\pi}{4} = \frac{\sqrt{2}}{2} $
$ \sin \frac{\pi}{4} = \frac{\sqrt{2}}{2} $
So, the coordinates are:
$ \left( \frac{\sqrt{2}}{2} , \frac{\sqrt{2}}{2} \right) $
Answer 2
Henry Green
The angle $ frac{pi}{4} $ radians corresponds to the coordinates:
$ left( frac{sqrt{2}}{2} , frac{sqrt{2}}{2}
ight) $
Answer 3
Matthew Carter
The coordinates are:
$ left( frac{sqrt{2}}{2} , frac{sqrt{2}}{2}
ight) $
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