Find the sine and cosine of $ frac{pi}{4} $ using the unit circle.
Answer 1
Matthew Carter
To find the sine and cosine of $ \frac{\pi}{4} $ using the unit circle:
On the unit circle, the angle $ \frac{\pi}{4} $ corresponds to the coordinates $ \left( \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \right) $.
Therefore,
$ \sin\left( \frac{\pi}{4} \right) = \frac{\sqrt{2}}{2} $
$ \cos\left( \frac{\pi}{4} \right) = \frac{\sqrt{2}}{2} $
Answer 2
Olivia Lee
Using the unit circle, the angle $ frac{pi}{4} $ has coordinates $ left( frac{sqrt{2}}{2}, frac{sqrt{2}}{2}
ight) $.
Therefore:
$ sinleft( frac{pi}{4}
ight) = frac{sqrt{2}}{2} $
$ cosleft( frac{pi}{4}
ight) = frac{sqrt{2}}{2} $
Answer 3
Michael Moore
For the angle $ frac{pi}{4} $ on the unit circle:
$ sinleft( frac{pi}{4}
ight) = frac{sqrt{2}}{2} $
$ cosleft( frac{pi}{4}
ight) = frac{sqrt{2}}{2} $
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