Determine the sine of $ frac{pi}{4} $ on the unit circle
Answer 1
To determine the sine of $ \frac{\pi}{4} $ on the unit circle, recall that the coordinates for $ \frac{\pi}{4} $ are:
$ \left( \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \right) $
The y-coordinate gives you the sine value:
$ \sin\left( \frac{\pi}{4} \right) = \frac{\sqrt{2}}{2} $
Answer 2
The sine of $ frac{pi}{4} $ on the unit circle can be found from the coordinates:
$ left( frac{sqrt{2}}{2}, frac{sqrt{2}}{2}
ight) $
Thus,
$ sinleft( frac{pi}{4}
ight) = frac{sqrt{2}}{2} $
Answer 3
The coordinates for $ frac{pi}{4} $ on the unit circle are:
$ left( frac{sqrt{2}}{2}, frac{sqrt{2}}{2}
ight) $
Therefore,
$ sinleft( frac{pi}{4}
ight) = frac{sqrt{2}}{2} $
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