Determine the coordinates on the unit circle for $150^circ$ and the corresponding angles in radians.
Answer 1
Emily Hall
First, convert $150^\circ$ to radians:
$\theta = 150^\circ \times \frac{\pi}{180^\circ} = \frac{5\pi}{6}$
Next, use the radian measure to find the coordinates on the unit circle. The coordinates for an angle of $\frac{5\pi}{6}$ are:
$\left(\cos\left(\frac{5\pi}{6}\right), \sin\left(\frac{5\pi}{6}\right)\right) = \left(-\frac{\sqrt{3}}{2}, \frac{1}{2}\right)$
Thus, the coordinates for $150^\circ$ are $\left(-\frac{\sqrt{3}}{2}, \frac{1}{2}\right)$.
Answer 2
Isabella Walker
First, convert $150^circ$ to radians:
$150^circ imes frac{pi}{180^circ} = frac{5pi}{6}$
Using the coordinates of a unit circle, for the angle $frac{5pi}{6}$, the cosine and sine values are:
$cosleft(frac{5pi}{6}
ight) = -frac{sqrt{3}}{2}, sinleft(frac{5pi}{6}
ight) = frac{1}{2}$
Therefore, the coordinates are $left(-frac{sqrt{3}}{2}, frac{1}{2}
ight)$.
Answer 3
Henry Green
Convert $150^circ$ to radians:
$frac{5pi}{6}$
Coordinates on the unit circle for $frac{5pi}{6}$ are:
$left(-frac{sqrt{3}}{2}, frac{1}{2}
ight)$
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