Find the value of $ sin( heta) $ and $ cos( heta) $ where $ heta = frac{pi}{3} $ using the unit circle.

To find the values of $ \sin(\theta) $ and $ \cos(\theta) $ where $ \theta = \frac{\pi}{3} $, we use the unit circle.

On the unit circle, the coordinates of the point corresponding to $ \theta = \frac{\pi}{3} $ are:

$ \left(\cos\left(\frac{\pi}{3}\right), \sin\left(\frac{\pi}{3}\right)\right) $

From the unit circle, these values are:

$ \cos\left(\frac{\pi}{3}\right) = \frac{1}{2} $

$ \sin\left(\frac{\pi}{3}\right) = \frac{\sqrt{3}}{2} $

To find the values of $ sin( heta) $ and $ cos( heta) $ where $ heta = frac{pi}{3} $, use the unit circle coordinates:

$ left(cosleft(frac{pi}{3}
ight), sinleft(frac{pi}{3}
ight)
ight) $

The values are:

$ cosleft(frac{pi}{3}
ight) = frac{1}{2} $

$ sinleft(frac{pi}{3}
ight) = frac{sqrt{3}}{2} $

To find $ sin( heta) $ and $ cos( heta) $ at $ heta = frac{pi}{3} $, use unit circle:

$ cosleft(frac{pi}{3}
ight) = frac{1}{2}, sinleft(frac{pi}{3}
ight) = frac{sqrt{3}}{2} $

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