Find the angle in radians for the point $(-frac{1}{2}, -frac{sqrt{3}}{2})$ on the unit circle
Answer 1
Chloe Evans
To find the angle in radians for the point $(-\frac{1}{2}, -\frac{\sqrt{3}}{2})$ on the unit circle, we first identify the coordinates. These coordinates correspond to one of the 30-60-90 triangle
Answer 2
Benjamin Clark
For the point $(-frac{1}{2}, -frac{sqrt{3}}{2})$ on the unit circle, we recognize it as a 30-60-90 triangle angle. Here, it is in the third quadrant.
The reference angle $frac{pi}{3}$ (60 degrees) is adjusted for the third quadrant:
$ pi + frac{pi}{3} = frac{4pi}{3} $
Thus, the angle in radians is $frac{4pi}{3}$.
Answer 3
Henry Green
For the point $(-frac{1}{2}, -frac{sqrt{3}}{2})$, the angle in radians is:
$ frac{4pi}{3} $
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