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Determine the value of $ cos( heta) $ and $ sin( heta) $ for $ heta = frac{pi}{4} $

Answer 1

Abigail Nelson

Benjamin Clark

To find the values of $ \cos(\theta) $ and $ \sin(\theta) $ when $ \theta = \frac{\pi}{4} $, we use the unit circle.

On the unit circle, when $ \theta = \frac{\pi}{4} $, both $ \cos(\theta) $ and $ \sin(\theta) $ are equal to:

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

Answer 2

Alex Thompson

William King

Using the unit circle, when $ heta = frac{pi}{4} $, we find:

$ cosleft(frac{pi}{4}
ight) = frac{sqrt{2}}{2} $

and

$ sinleft(frac{pi}{4}
ight) = frac{sqrt{2}}{2} $

Answer 3

Amelia Mitchell

Isabella Walker

For $ heta = frac{pi}{4} $,

$ cosleft(frac{pi}{4}
ight) = frac{sqrt{2}}{2} $

and

$ sinleft(frac{pi}{4}
ight) = frac{sqrt{2}}{2} $