Find the cosine of the angle $ frac{pi}{4} $ on the unit circle
Answer 1
William King
The unit circle defines the standard positions and values of trigonometric functions. For the angle $ \frac{\pi}{4} $ (or 45 degrees), we use the unit circle definition:
The coordinates of the point on the unit circle corresponding to the angle $ \frac{\pi}{4} $ are:
$ ( \cos( \frac{\pi}{4} ), \sin( \frac{\pi}{4} )) $
Since the unit circle has radius 1, we get:
$ \cos( \frac{\pi}{4} ) = \frac{1}{\sqrt{2}} = \frac{\sqrt{2}}{2} $
Answer 2
Ava Martin
On the unit circle, the angle $ frac{pi}{4} $ translates to:
$ cos( frac{pi}{4} ) = frac{sqrt{2}}{2} $
Answer 3
Emma Johnson
For $ frac{pi}{4} $, $ cos( frac{pi}{4} ) $ is:
$ frac{sqrt{2}}{2} $
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