What is the cosine and sine of an angle of $frac{pi}{3}$ on the unit circle?

Answer 1

The angle $\frac{\pi}{3}$ corresponds to 60 degrees on the unit circle.

The coordinates of this angle on the unit circle are $(\frac{1}{2}, \frac{\sqrt{3}}{2})$.

Therefore, the cosine of the angle $\frac{\pi}{3}$ is $\frac{1}{2}$, and the sine is $\frac{\sqrt{3}}{2}$.

Answer 2

To find the cosine and sine of $frac{pi}{3}$, we can refer to the standard unit circle values. For the angle $frac{pi}{3}$:

$cos(frac{pi}{3}) = frac{1}{2}$

$sin(frac{pi}{3}) = frac{sqrt{3}}{2}$

Hence, the cosine and sine of $frac{pi}{3}$ are $frac{1}{2}$ and $frac{sqrt{3}}{2}$ respectively.

Answer 3

For $frac{pi}{3}$, $cos(frac{pi}{3}) = frac{1}{2}$ and $sin(frac{pi}{3}) = frac{sqrt{3}}{2}$.