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Determine the value of $cos(frac{pi}{4})$ using the unit circle

Answer 1

Abigail Nelson

Chloe Evans

To determine the value of $\cos(\frac{\pi}{4})$, we use the unit circle. At the angle $\frac{\pi}{4}$, the coordinates on the unit circle are $(\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2})$.

Since the x-coordinate represents the cosine value, we have:

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

Answer 2

Alex Thompson

Benjamin Clark

To find $cos(frac{pi}{4})$ using the unit circle:

At the angle $frac{pi}{4}$, the coordinate is $(frac{sqrt{2}}{2}, frac{sqrt{2}}{2})$.

Thus,

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

Answer 3

Amelia Mitchell

Isabella Walker

For $cos(frac{pi}{4})$, the unit circle gives:

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