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

Answer 1

Abigail Nelson

Christopher Garcia

To find the coordinates on the unit circle at an angle of $ \frac{\pi}{3} $, we use the unit circle definition:

$ (\cos(\theta), \sin(\theta)) $

For $ \theta = \frac{\pi}{3} $:

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

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

The coordinates are:

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

Answer 2

Alex Thompson

Olivia Lee

To find the coordinates on the unit circle at an angle of $ frac{pi}{3} $, use the unit circle formula:

$ (cos( heta), sin( heta)) $

At $ heta = frac{pi}{3} $:

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

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

Coordinates are:

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

Answer 3

Amelia Mitchell

Benjamin Clark

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

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