Find the coordinates of a point on the unit circle at angle $frac{pi}{4}$
Answer 1
Lily Perez
To find the coordinates of a point on the unit circle at angle $\frac{\pi}{4}$, we use the trigonometric functions:
$ x = \cos\left(\frac{\pi}{4}\right) $
$ y = \sin\left(\frac{\pi}{4}\right) $
Since:
$ \cos\left(\frac{\pi}{4}\right) = \frac{\sqrt{2}}{2} $
$ \sin\left(\frac{\pi}{4}\right) = \frac{\sqrt{2}}{2} $
The coordinates are:
$ \left( \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \right) $
Answer 2
Matthew Carter
For angle $frac{pi}{4}$ on the unit circle:
$ x = cosleft(frac{pi}{4}
ight) = frac{sqrt{2}}{2} $
$ y = sinleft(frac{pi}{4}
ight) = frac{sqrt{2}}{2} $
Coordinates:
$ left( frac{sqrt{2}}{2}, frac{sqrt{2}}{2}
ight) $
Answer 3
Abigail Nelson
At angle $frac{pi}{4}$ on the unit circle:
$ left( frac{sqrt{2}}{2}, frac{sqrt{2}}{2}
ight) $
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