Find the coordinates of the point on the unit circle where the angle is $ heta = frac{pi}{4} $.

The unit circle has a radius of 1. The coordinates of a point on the unit circle can be found using the formulas:

$ x = \cos(\theta) $

$ y = \sin(\theta) $

For $ \theta = \frac{\pi}{4} $:

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

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

So, the coordinates are:

$ \left( \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \right) $

The unit circle has a radius of 1. For the angle $ heta = frac{pi}{4} $, we use:

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

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

Thus, the coordinates are $ left( frac{sqrt{2}}{2}, frac{sqrt{2}}{2}
ight) $.

The coordinates on the unit circle at $ heta = frac{pi}{4} $ are:

$ left( frac{sqrt{2}}{2}, frac{sqrt{2}}{2}
ight) $

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