Find the coordinates of the point where the terminal side of $ heta $ intersects the unit circle at $ heta = frac{5pi}{6} $
Answer 1
James Taylor
To find the coordinates of the point where the terminal side of $ \theta $ intersects the unit circle at $ \theta = \frac{5\pi}{6} $, we use the unit circle definition and the corresponding reference angle.
The reference angle for $ \theta = \frac{5\pi}{6} $ is $ \frac{\pi}{6} $. The coordinates on the unit circle for $ \frac{\pi}{6} $ are $ \left( \frac{\sqrt{3}}{2}, \frac{1}{2} \right) $.
Since $ \frac{5\pi}{6} $ is in the second quadrant, we adjust the signs of the coordinates:
$ \left( -\frac{\sqrt{3}}{2}, \frac{1}{2} \right) $
Answer 2
Lily Perez
To find the coordinates of the point where the terminal side of $ heta $ intersects the unit circle at $ heta = frac{5pi}{6} $, we use the unit circle definition and the reference angle of $ frac{pi}{6} $.
The coordinates for $ frac{pi}{6} $ are $ left( frac{sqrt{3}}{2}, frac{1}{2}
ight) $, and since $ frac{5pi}{6} $ is in the second quadrant:
$ left( -frac{sqrt{3}}{2}, frac{1}{2}
ight) $
Answer 3
John Anderson
At $ heta = frac{5pi}{6} $, the coordinates where the terminal side intersects the unit circle are:
$ left( -frac{sqrt{3}}{2}, frac{1}{2}
ight) $
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