Find the sine and cosine values for the angle $30^{circ}$ on the unit circle
Answer 1
Joseph Robinson
To find the sine and cosine values for the angle $30^{\circ}$ on the unit circle, we use the known values of sine and cosine for common angles. The coordinates of the point on the unit circle at $30^{\circ}$ are $(\frac{\sqrt{3}}{2}, \frac{1}{2})$.
Therefore,
$ \sin(30^{\circ}) = \frac{1}{2} $
$ \cos(30^{\circ}) = \frac{\sqrt{3}}{2} $
Answer 2
James Taylor
The angle $30^{circ}$ is a standard angle on the unit circle. The coordinates of the point corresponding to $30^{circ}$ are $(frac{sqrt{3}}{2}, frac{1}{2})$.
Thus, the sine value is the y-coordinate and the cosine value is the x-coordinate:
$ sin(30^{circ}) = frac{1}{2} $
$ cos(30^{circ}) = frac{sqrt{3}}{2} $
Answer 3
Isabella Walker
On the unit circle, the coordinates for $30^{circ}$ are $(frac{sqrt{3}}{2}, frac{1}{2})$. Therefore,
$ sin(30^{circ}) = frac{1}{2} $
$ cos(30^{circ}) = frac{sqrt{3}}{2} $
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