Determine the coordinates on the unit circle for the angle $-frac{2}{3}π$
Answer 1
Ava Martin
To determine the coordinates on the unit circle for the angle $-\frac{2}{3}π$, we first convert this angle to its corresponding positive angle by adding $2π$:
$ -\frac{2}{3}π + 2π = \frac{4π}{3} $
Now, we find the coordinates corresponding to the angle $\frac{4π}{3}$ on the unit circle. This angle is in the third quadrant, where both sine and cosine are negative:
$ \left( -\frac{1}{2}, -\frac{\sqrt{3}}{2} \right) $
Answer 2
Amelia Mitchell
To find the coordinates for the angle $-frac{2}{3}π$ on the unit circle, add $2π$ to get a positive equivalent angle:
$ -frac{2}{3}π + 2π = frac{4π}{3} $
The coordinates for $frac{4π}{3}$ are:
$ left( -frac{1}{2}, -frac{sqrt{3}}{2}
ight) $
Answer 3
Abigail Nelson
Coordinates for $-frac{2}{3}π$ on the unit circle are:
$ left( -frac{1}{2}, -frac{sqrt{3}}{2}
ight) $
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