$ ext{Find the value of } sin(30^circ) ext{ on the unit circle.}$
Answer 1
Charlotte Davis
To find the value of $\sin(30^\circ)$ on the unit circle, we first need to recognize that $30^\circ$ is a special angle. On the unit circle, the angle $30^\circ$ corresponds to the coordinates $(\frac{\sqrt{3}}{2}, \frac{1}{2})$. The sine function gives the y-coordinate of this point.
Therefore,
$\sin(30^\circ) = \frac{1}{2}.$
Answer 2
Daniel Carter
To determine $sin(30^circ)$ on the unit circle, we recall that $30^circ$ is equivalent to $frac{pi}{6}$ radians. The coordinates for $frac{pi}{6}$ on the unit circle are $(frac{sqrt{3}}{2}, frac{1}{2})$. The sine of an angle is given by the y-coordinate.
Thus,
$sin(30^circ) = frac{1}{2}.$
Answer 3
Mia Harris
The sine of $30^circ$ on the unit circle is found by looking at the y-coordinate of the corresponding point.
Since the coordinates are $(frac{sqrt{3}}{2}, frac{1}{2})$,
$sin(30^circ) = frac{1}{2}.$
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