Find the Cosine of an Angle on the Unit Circle
Answer 1
John Anderson
To find the cosine of an angle, we use the unit circle. Given that the angle is $\theta = \frac{\pi}{3}$, we need to find $\cos(\frac{\pi}{3})$.
On the unit circle, the coordinates of the point corresponding to the angle $\theta$ are $(\cos(\theta), \sin(\theta))$. For $\theta = \frac{\pi}{3}$, the coordinates are $\left(\frac{1}{2}, \frac{\sqrt{3}}{2}\right)$. So,
$\cos\left(\frac{\pi}{3}\right) = \frac{1}{2} $
Answer 2
Ava Martin
First, recognize that the unit circle allows us to find the cosine of any angle $ heta$ based on the coordinates $(cos( heta), sin( heta))$. For $ heta = frac{pi}{3}$, the point on the unit circle is located at $left(frac{1}{2}, frac{sqrt{3}}{2}
ight)$.
Thus, we obtain
$ cosleft(frac{pi}{3}
ight) = frac{1}{2}$
Answer 3
Henry Green
To find $ cosleft(frac{pi}{3}
ight)$, we look at the unit circle. The coordinates for $ heta = frac{pi}{3}$ are $left(frac{1}{2}, frac{sqrt{3}}{2}
ight)$, giving us
$cosleft(frac{pi}{3}
ight) = frac{1}{2} $
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