Determine the coordinates of a point on the unit circle with an angle of $ frac{pi}{4} $
Answer 1
Amelia Mitchell
The unit circle is a circle with a radius of 1 centered at the origin (0, 0).
The coordinates of a point on the unit circle with an angle $ \frac{\pi}{4} $ are found using trigonometric functions:
$ x = \cos \left( \frac{\pi}{4} \right) = \frac{\sqrt{2}}{2} $
$ y = \sin \left( \frac{\pi}{4} \right) = \frac{\sqrt{2}}{2} $
Therefore, the coordinates are $ \left( \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \right) $.
Answer 2
Chloe Evans
To determine the coordinates of a point on the unit circle with an angle $ frac{pi}{4} $, we use the cosine and sine functions:
$ x = cos left( frac{pi}{4}
ight) = frac{sqrt{2}}{2} $
$ y = sin left( frac{pi}{4}
ight) = frac{sqrt{2}}{2} $
Thus, the coordinates are $ left( frac{sqrt{2}}{2}, frac{sqrt{2}}{2}
ight) $.
Answer 3
Sophia Williams
The coordinates of a point on the unit circle with an angle $ frac{pi}{4} $ are:
$ left( frac{sqrt{2}}{2}, frac{sqrt{2}}{2}
ight) $
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