Find the exact value of $ sin(frac{pi}{4}) $ on the unit circle.
Answer 1
Alex Thompson
To find the exact value of $ \sin(\frac{\pi}{4}) $ on the unit circle, we recognize that $ \frac{\pi}{4} $ is equivalent to $ 45^{\circ} $.
On the unit circle, the coordinates for $ \frac{\pi}{4} $ are $ \left( \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \right) $.
The sine value is the y-coordinate, so:
$ \sin(\frac{\pi}{4}) = \frac{\sqrt{2}}{2} $
Answer 2
Benjamin Clark
To find the value of $ sin(frac{pi}{4}) $ on the unit circle, note that $ frac{pi}{4} $ corresponds to $ 45^{circ} $.
The coordinates at this angle are $ left( frac{sqrt{2}}{2}, frac{sqrt{2}}{2}
ight) $.
Thus, the sine value is:
$ sin(frac{pi}{4}) = frac{sqrt{2}}{2} $
Answer 3
Emma Johnson
For $ sin(frac{pi}{4}) $, we see that it is $ 45^{circ} $ or $ frac{pi}{4} $ on the unit circle.
The y-coordinate value:
$ sin(frac{pi}{4}) = frac{sqrt{2}}{2} $
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