Calculate the cosine and sine of the angle $frac{pi}{3}$ using the unit circle.
Answer 1
Mia Harris
Using the unit circle, we know that the angle $\frac{\pi}{3}$ corresponds to 60 degrees.
From the unit circle properties:
The coordinates at $\frac{\pi}{3}$ are $(\frac{1}{2}, \frac{\sqrt{3}}{2})$.
So, the cosine of $\frac{\pi}{3}$ is $\frac{1}{2}$ and the sine of $\frac{\pi}{3}$ is $\frac{\sqrt{3}}{2}$.
Answer: Cosine: $\frac{1}{2}$, Sine: $\frac{\sqrt{3}}{2}$.
Answer 2
Samuel Scott
To find the cosine and sine of $frac{pi}{3}$, we look at the unit circle.
At $frac{pi}{3}$ radians (or 60 degrees), the coordinates are $(frac{1}{2}, frac{sqrt{3}}{2})$.
Therefore, cosine is $frac{1}{2}$ and sine is $frac{sqrt{3}}{2}$.
Answer: Cosine: $frac{1}{2}$, Sine: $frac{sqrt{3}}{2}$.
Answer 3
James Taylor
For the angle $frac{pi}{3}$, the unit circle coordinates are $(frac{1}{2}, frac{sqrt{3}}{2})$.
This means the cosine is $frac{1}{2}$ and the sine is $frac{sqrt{3}}{2}$.
Answer: Cosine: $frac{1}{2}$, Sine: $frac{sqrt{3}}{2}$.
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