Identify the coordinates of specific angles on the unit circle.

To find the coordinates of specific angles on the unit circle, remember that the unit circle has a radius of 1.

For the angle $\theta = \frac{\pi}{4}$, the coordinates are:

$(\cos(\frac{\pi}{4}), \sin(\frac{\pi}{4})) = (\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2})$

To find the coordinates of specific angles on the unit circle, remember that the unit circle has a radius of 1.

For the angle $ heta = frac{pi}{3}$, the coordinates are:

$(cos(frac{pi}{3}), sin(frac{pi}{3})) = (frac{1}{2}, frac{sqrt{3}}{2})$

For the angle $ heta = frac{pi}{6}$, the coordinates are:

$(cos(frac{pi}{6}), sin(frac{pi}{6})) = (frac{sqrt{3}}{2}, frac{1}{2})$

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