Find the sine and cosine of $ frac{pi}{4} $

To find the sine and cosine of $ \frac{\pi}{4} $, we use the unit circle. Since $ \frac{\pi}{4} $ corresponds to 45 degrees:

$ \sin\left( \frac{\pi}{4} \right) = \frac{\sqrt{2}}{2} $

$ \cos\left( \frac{\pi}{4} \right) = \frac{\sqrt{2}}{2} $

At $ frac{pi}{4} $ on the unit circle, both sine and cosine values are:

$ sinleft( frac{pi}{4}
ight) = frac{sqrt{2}}{2} $

$ cosleft( frac{pi}{4}
ight) = frac{sqrt{2}}{2} $

For $ frac{pi}{4} $:

$ sinleft( frac{pi}{4}
ight) = frac{sqrt{2}}{2} $

$ cosleft( frac{pi}{4}
ight) = frac{sqrt{2}}{2} $

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