Find the values of $sin(30°)$ and $cos(30°)$ on the unit circle.
Answer 1
Joseph Robinson
To find the values of $\sin(30°)$ and $\cos(30°)$ on the unit circle, we use the fact that 30° corresponds to $\frac{\pi}{6}$ radians.
The coordinates of the point on the unit circle at an angle $\frac{\pi}{6}$ from the positive x-axis are $(\cos(\frac{\pi}{6}), \sin(\frac{\pi}{6}))$.
We know:
$\cos(\frac{\pi}{6}) = \frac{\sqrt{3}}{2}$
$\sin(\frac{\pi}{6}) = \frac{1}{2}$
Therefore, $\sin(30°) = \frac{1}{2}$ and $\cos(30°) = \frac{\sqrt{3}}{2}$.
Answer 2
Maria Rodriguez
Begin by converting the angle 30° to radians, which is $frac{pi}{6}$ radians.
On the unit circle, the coordinates of the angle $frac{pi}{6}$ are $(cos(frac{pi}{6}), sin(frac{pi}{6}))$.
Using known values:
$cos(frac{pi}{6}) = frac{sqrt{3}}{2}$
$sin(frac{pi}{6}) = frac{1}{2}$
Thus, $cos(30°) = frac{sqrt{3}}{2}$ and $sin(30°) = frac{1}{2}$.
Answer 3
William King
Convert 30° to $frac{pi}{6}$ radians.
At $frac{pi}{6}$ radians, the coordinates are $(frac{sqrt{3}}{2}, frac{1}{2})$ on the unit circle.
Hence, $sin(30°) = frac{1}{2}$ and $cos(30°) = frac{sqrt{3}}{2}$.
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