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Find the exact value of $ sin(frac{pi}{4}) $ on the unit circle

Answer 1

Abigail Nelson

Joseph Robinson

To find the exact value of $ \sin(\frac{\pi}{4}) $ on the unit circle, recognize that $ \frac{\pi}{4} $ is 45 degrees. The sine of 45 degrees (or $ \frac{\pi}{4} $) is:

$ \sin(45^\circ) = \sin(\frac{\pi}{4}) = \frac{\sqrt{2}}{2} $

Thus, the exact value is:

$ \sin(\frac{\pi}{4}) = \frac{\sqrt{2}}{2} $

Answer 2

Alex Thompson

Maria Rodriguez

On the unit circle, the angle $ frac{pi}{4} $ corresponds to 45 degrees. The sine of $ frac{pi}{4} $ is:

$ sin(frac{pi}{4}) = frac{sqrt{2}}{2} $

Answer 3

Amelia Mitchell

Thomas Walker

The angle $ frac{pi}{4} $ has a sine value of:

$ sin(frac{pi}{4}) = frac{sqrt{2}}{2} $