Determine the sine of $ frac{pi}{4} $ on the unit circle

Answer 1

Abigail Nelson

Amelia Mitchell

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

Alex Thompson

Lucas Brown

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

Amelia Mitchell

William King

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} $