Find the cosine of the angle at the unit circle for the angle $ heta = frac{pi}{3} $
Answer 1
Henry Green
To find the cosine of $\theta = \frac{\pi}{3}$ on the unit circle, we look at the x-coordinate of the point where the terminal side of the angle intersects the unit circle. For $\theta = \frac{\pi}{3}$, the point is $ (\frac{1}{2}, \frac{\sqrt{3}}{2}) $.
Therefore,
$\cos\left(\frac{\pi}{3}\right) = \frac{1}{2} $
Answer 2
John Anderson
On the unit circle, the cosine of an angle $ heta$ is equivalent to the x-coordinate of the corresponding point on the circle. For the angle $ heta = frac{pi}{3}$, the x-coordinate is $frac{1}{2}$.
Thus,
$cosleft(frac{pi}{3}
ight) = frac{1}{2} $
Answer 3
Isabella Walker
The cosine of $frac{pi}{3}$ is the x-coordinate at this angle on the unit circle. This coordinate is $frac{1}{2}$.
Therefore,
$cosleft(frac{pi}{3}
ight) = frac{1}{2} $
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