Find the sine and cosine of $ frac{pi}{4} $ using the unit circle.
Answer 1
Lucas Brown
To find the sine and cosine of $ \frac{\pi}{4} $ using the unit circle, we can use the coordinates of the corresponding point on the unit circle. For an angle of $ \frac{\pi}{4} $ radians, the coordinates are:
$ ( \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} ) $
Therefore:
$ \sin \frac{\pi}{4} = \frac{\sqrt{2}}{2} $
$ \cos \frac{\pi}{4} = \frac{\sqrt{2}}{2} $
Answer 2
Mia Harris
Using the unit circle, the coordinates for an angle of $ frac{pi}{4} $ are:
$ ( frac{sqrt{2}}{2}, frac{sqrt{2}}{2} ) $
Thus,
$ sin frac{pi}{4} = frac{sqrt{2}}{2} $
$ cos frac{pi}{4} = frac{sqrt{2}}{2} $
Answer 3
Maria Rodriguez
At $ frac{pi}{4} $ radians:
$ sin frac{pi}{4} = frac{sqrt{2}}{2} $
$ cos frac{pi}{4} = frac{sqrt{2}}{2} $
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