Find the $cos$ value for a given angle on the unit circle
Answer 1
Thomas Walker
Consider an angle $\theta = \frac{\pi}{3}$ on the unit circle.
We know from trigonometry that the point corresponding to $\theta = \frac{\pi}{3}$ has coordinates $(\cos(\frac{\pi}{3}), \sin(\frac{\pi}{3}))$.
Using the unit circle values, we find
$\cos(\frac{\pi}{3}) = \frac{1}{2}$.
Therefore, the cosine of $\frac{\pi}{3}$ is $\frac{1}{2}$.
Answer 2
Sophia Williams
Let’s find the cosine value for the angle $ heta = frac{pi}{6}$.
On the unit circle, the coordinates for $ heta = frac{pi}{6}$ are $(cos(frac{pi}{6}), sin(frac{pi}{6}))$.
From the unit circle table,
$cos(frac{pi}{6}) = frac{sqrt{3}}{2}$.
Thus, the cosine of $frac{pi}{6}$ is $frac{sqrt{3}}{2}$.
Answer 3
Charlotte Davis
Find the cosine of $ heta = pi$ on the unit circle.
The unit circle tells us
$cos(pi) = -1$.
So, the cosine of $pi$ is -1.
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