Find the coordinates on the unit circle for an angle of $frac{pi}{3}$ radians.
Answer 1
Henry Green
To find the coordinates of an angle of $\frac{\pi}{3}$ radians on the unit circle, we use the cosine and sine values of the angle.
The cosine of $\frac{\pi}{3}$ is $\frac{1}{2}$.
The sine of $\frac{\pi}{3}$ is $\frac{\sqrt{3}}{2}$.
Therefore, the coordinates are:
$\left( \frac{1}{2}, \frac{\sqrt{3}}{2} \right)$
Answer 2
Matthew Carter
First, identify the angle $frac{pi}{3}$ on the unit circle. This angle is in the first quadrant.
The coordinates can be found using the cosine and sine values for $frac{pi}{3}$:
$cosleft(frac{pi}{3}
ight) = frac{1}{2}$
$sinleft(frac{pi}{3}
ight) = frac{sqrt{3}}{2}$
Thus, the coordinates of the point are:
$left( frac{1}{2}, frac{sqrt{3}}{2}
ight)$
Answer 3
Alex Thompson
For an angle of $frac{pi}{3}$ radians, the unit circle coordinates are:
$left( frac{1}{2}, frac{sqrt{3}}{2}
ight)$
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