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Find the coordinates of the point on the unit circle for angle $ frac{pi}{3} $

Answer 1

Abigail Nelson

Emma Johnson

For the angle $ \frac{\pi}{3} $ on the unit circle, the coordinates are found using the sine and cosine functions.

The x-coordinate is:

$ \cos\left( \frac{\pi}{3} \right) = \frac{1}{2} $

The y-coordinate is:

$ \sin\left( \frac{\pi}{3} \right) = \frac{\sqrt{3}}{2} $

Thus, the coordinates are:

$ \left( \frac{1}{2}, \frac{\sqrt{3}}{2} \right) $

Answer 2

Alex Thompson

Joseph Robinson

For the angle $ frac{pi}{3} $, the coordinates can be determined using the unit circle.

The x-coordinate is:

$ cosleft( frac{pi}{3}
ight) = frac{1}{2} $

The y-coordinate is:

$ sinleft( frac{pi}{3}
ight) = frac{sqrt{3}}{2} $

Therefore, the coordinates are:

$ left( frac{1}{2}, frac{sqrt{3}}{2}
ight) $

Answer 3

Amelia Mitchell

Alex Thompson

For the angle $ frac{pi}{3} $, the coordinates are:

$ left( frac{1}{2}, frac{sqrt{3}}{2}
ight) $