Find the value of $cos heta$ on the unit circle in the complex plane when $ heta = pi/3$.
Answer 1
Mia Harris
To find the value of $\cos \theta$ on the unit circle, we use the unit circle definition where the coordinates are $(\cos \theta, \sin \theta)$.
For $\theta = \pi/3$, the coordinates on the unit circle are:
$\left( \cos \frac{\pi}{3}, \sin \frac{\pi}{3} \right) = \left( \frac{1}{2}, \frac{\sqrt{3}}{2} \right)$
Therefore,
$\cos \frac{\pi}{3} = \frac{1}{2}$
Answer 2
Maria Rodriguez
Using the unit circle properties, we know that for any angle $ heta$, the coordinates are $(cos heta, sin heta)$.
Given $ heta = pi/3$, we check the known values:
$cos frac{pi}{3} = frac{1}{2}$
Thus,
$cos frac{pi}{3} = frac{1}{2}$
Answer 3
Lucas Brown
We know that on the unit circle,
$cos frac{pi}{3} = frac{1}{2}$
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