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Find the coordinates on the unit circle for an angle of $ frac{pi}{3} $

Answer 1

Abigail Nelson

Joseph Robinson

To find the coordinates on the unit circle for an angle of $ \frac{\pi}{3} $, we use the cosine and sine functions:

$ x = \cos(\frac{\pi}{3}) $

$ y = \sin(\frac{\pi}{3}) $

The values are:

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

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

Thus, the coordinates are:

$ (\frac{1}{2}, \frac{\sqrt{3}}{2}) $

Answer 2

Alex Thompson

Emily Hall

To find the coordinates on the unit circle for an angle of $ frac{pi}{3} $:

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

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

So, the coordinates are:

$ (frac{1}{2}, frac{sqrt{3}}{2}) $

Answer 3

Amelia Mitchell

Maria Rodriguez

For an angle of $ frac{pi}{3} $:

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

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

Coordinates: $ (frac{1}{2}, frac{sqrt{3}}{2}) $