Identify the coordinates on the unit circle for $ heta = frac{pi}{4} $
Answer 1
Abigail Nelson
To find the coordinates on the unit circle for $ \theta = \frac{\pi}{4} $, we use the unit circle properties.
For $ \theta = \frac{\pi}{4} $, the coordinates are given by:
$ (\cos(\frac{\pi}{4}), \sin(\frac{\pi}{4})) $
From trigonometric values, we know:
$ \cos(\frac{\pi}{4}) = \sin(\frac{\pi}{4}) = \frac{\sqrt{2}}{2} $
So the coordinates are:
$ \left( \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \right) $
Answer 2
Ava Martin
For $ heta = frac{pi}{4} $ on the unit circle, the coordinates are:
$ (cos(frac{pi}{4}), sin(frac{pi}{4})) $
We know:
$ cos(frac{pi}{4}) = sin(frac{pi}{4}) = frac{sqrt{2}}{2} $
Hence, coordinates are:
$ left( frac{sqrt{2}}{2}, frac{sqrt{2}}{2}
ight) $
Answer 3
Emma Johnson
For $ heta = frac{pi}{4} $ on the unit circle, the coordinates are:
$ left( frac{sqrt{2}}{2}, frac{sqrt{2}}{2}
ight) $
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