Find the sine and cosine of the angle $ pi/3 $ using the unit circle

To find the sine and cosine of the angle $ \pi/3 $ using the unit circle, consider the angle that corresponds to $ \pi/3 $ radians (or 60 degrees).

In the unit circle, the coordinates of the point on the circumference corresponding to the angle $ \pi/3 $ are $ (\cos(\pi/3), \sin(\pi/3)) $.

For $ \pi/3 $:

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

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

Using the unit circle, locate the angle $ pi/3 $ (60 degrees) and note the coordinates of the point where the terminal side intersects the circle.

The coordinates are $ (cos(pi/3), sin(pi/3)) $.

Thus:

$ cos(pi/3) = frac{1}{2} $

$ sin(pi/3) = frac{sqrt{3}}{2} $

For $ pi/3 $ on the unit circle:

$ cos(pi/3) = frac{1}{2} $

$ sin(pi/3) = frac{sqrt{3}}{2} $

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