Determine the angle in radians of the point on the unit circle in the first quadrant with an $x$-coordinate of $frac{1}{2}$

To find the angle in radians with an $x$-coordinate of $\frac{1}{2}$ in the first quadrant, we use the unit circle definition of cosine.

For $\cos(\theta) = \frac{1}{2}$, the corresponding angle is:

$ \theta = \frac{\pi}{3} $

Given $cos( heta) = frac{1}{2}$, the angle in the first quadrant is:

$ heta = frac{pi}{3} $

The angle is:

$ heta = frac{pi}{3} $

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