Determine the coordinates and angles for points on the unit circle where the $cos( heta) = frac{1}{2}$.
Answer 1
Alex Thompson
To determine the coordinates where $\cos(\theta) = \frac{1}{2}$ on the unit circle, we need to find $\theta$ such that:
$ \cos(\theta) = \frac{1}{2} $
The angles that satisfy this condition are $\theta = \frac{\pi}{3}$ and $\theta = \frac{5\pi}{3}$. The corresponding coordinates are:
$ (\frac{1}{2}, \frac{\sqrt{3}}{2}) $ and $ (\frac{1}{2}, -\frac{\sqrt{3}}{2}) $
Answer 2
Abigail Nelson
To determine the coordinates where $cos( heta) = frac{1}{2}$, identify $ heta$ such that:
$ cos( heta) = frac{1}{2} $
The angles are $ heta = frac{pi}{3}$ and $ heta = frac{5pi}{3}$. The coordinates are:
$ (frac{1}{2}, frac{sqrt{3}}{2}) $ and $ (frac{1}{2}, -frac{sqrt{3}}{2}) $
Answer 3
Matthew Carter
For $cos( heta) = frac{1}{2}$, $ heta$ can be either $frac{pi}{3}$ or $frac{5pi}{3}$. The coordinates are:
$ (frac{1}{2}, frac{sqrt{3}}{2}) $ and $ (frac{1}{2}, -frac{sqrt{3}}{2}) $
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