Find the cosine of an angle of $frac{pi}{3}$ radians on the unit circle.
Answer 1
Lucas Brown
To find the cosine of an angle of $\frac{\pi}{3}$ radians on the unit circle, we need to look at the coordinates of the point where the terminal side of the angle intersects the unit circle.
On the unit circle, the coordinates are given by $(\cos \theta, \sin \theta)$ where $\theta$ is the angle in radians.
For $\theta = \frac{\pi}{3}$, the coordinates are $(\frac{1}{2}, \frac{\sqrt{3}}{2})$.
Thus, the cosine of $\frac{\pi}{3}$ is $\frac{1}{2}$.
$\cos \frac{\pi}{3} = \frac{1}{2}$
Answer 2
Mia Harris
We need to determine the cosine of the angle $frac{pi}{3}$ radians on the unit circle.
The unit circle has a radius of 1, and the cosine of an angle $ heta$ is the x-coordinate of the point on the unit circle corresponding to $ heta$.
For $ heta = frac{pi}{3}$, the coordinates of the point are $(frac{1}{2}, frac{sqrt{3}}{2})$.
So, the cosine of $frac{pi}{3}$ is $frac{1}{2}$.
$ cos frac{pi}{3} = frac{1}{2} $
Answer 3
Chloe Evans
The cosine of $frac{pi}{3}$ radians on the unit circle is the x-coordinate of the corresponding point.
The coordinates for $frac{pi}{3}$ are $(frac{1}{2}, frac{sqrt{3}}{2})$.
Therefore, $cos frac{pi}{3} = frac{1}{2}$.
$ cos frac{pi}{3} = frac{1}{2} $
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