Determine the cosine of an angle on the unit circle at $45^{circ}$

To find the cosine of an angle at $45^{\circ}$ on the unit circle, recall that:

$ \cos(45^{\circ}) = \frac{1}{\sqrt{2}} = \frac{\sqrt{2}}{2} $

To determine the cosine of $45^{circ}$ on the unit circle:

$ cos(45^{circ}) = frac{sqrt{2}}{2} $

For $45^{circ}$, the cosine is:

$ cos(45^{circ}) = frac{sqrt{2}}{2} $

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