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Calculate $ cos(frac{pi}{4}) $ using the unit circle

Answer 1

Abigail Nelson

Sophia Williams

To calculate $ \cos(\frac{\pi}{4}) $ using the unit circle, we look at the angle $ \frac{\pi}{4} $ on the unit circle.

At this angle, both sine and cosine values are equal.

Thus, the value of $ \cos(\frac{\pi}{4}) $ is:

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

Answer 2

Alex Thompson

Abigail Nelson

To determine $ cos(frac{pi}{4}) $ using the unit circle, note that $ frac{pi}{4} $ is a 45-degree angle.

The cosine and sine of this angle are the same.

The value of $ cos(frac{pi}{4}) $ is:

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

Answer 3

Amelia Mitchell

Daniel Carter

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

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