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Find the cosine of $ frac{pi}{3} $ using the unit circle

Answer 1

Abigail Nelson

Michael Moore

Using the unit circle, the angle $ \frac{\pi}{3} $ corresponds to 60 degrees. On the unit circle, the coordinates of this angle are:

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

The cosine value is the x-coordinate:

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

Answer 2

Alex Thompson

Mia Harris

Using the unit circle, the angle $ frac{pi}{3} $ corresponds to 60 degrees. The coordinates of this point are:

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

Thus, the cosine value is:

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

Answer 3

Amelia Mitchell

Maria Rodriguez

Using the unit circle, the angle $ frac{pi}{3} $ corresponds to:

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