On the unit circle, what is the value of $sin(frac{pi}{6})$?
Answer 1
Ella Lewis
To find the value of $\sin(\frac{\pi}{6})$ on the unit circle, we start by understanding that $\frac{\pi}{6}$ radians is equivalent to 30 degrees. In a unit circle, the coordinates of the angle $\frac{\pi}{6}$ are (\(\frac{\sqrt{3}}{2}, \frac{1}{2}\)).
Therefore, $\sin(\frac{\pi}{6})$ is the y-coordinate, which is:
$\sin(\frac{\pi}{6}) = \frac{1}{2}$
Answer 2
Henry Green
We need to determine $sin(frac{pi}{6})$ on the unit circle. The angle $frac{pi}{6}$ corresponds to 30 degrees. On the unit circle, the coordinates for 30 degrees are ((frac{sqrt{3}}{2}, frac{1}{2})).
The sine of an angle in the unit circle is the y-coordinate, so:
$sin(frac{pi}{6}) = frac{1}{2}$
Answer 3
Sophia Williams
To find $sin(frac{pi}{6})$, recall that the coordinates at $frac{pi}{6}$ in the unit circle are ((frac{sqrt{3}}{2}, frac{1}{2})).
The sine value is the y-coordinate:
$sin(frac{pi}{6}) = frac{1}{2}$
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