Find the tangent of the angle where the unit circle intersects the x-axis at $(1, 0)$.

To find the tangent of the angle, we first note that the point of intersection with the x-axis at (1, 0) corresponds to 0 radians or 0 degrees.

The tangent of an angle in a unit circle is given by $\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}$.

For $\theta = 0$:

$\sin(0) = 0$ and $\cos(0) = 1$.

Therefore,

$\tan(0) = \frac{0}{1} = 0$.

So, the tangent of the angle is 0.

To determine the tangent where the unit circle intersects at (1, 0), identify the angle position. At (1, 0), we are at an angle of 0 radians (or 0 degrees).

The tangent function is given by:

$ an( heta) = frac{sin( heta)}{cos( heta)}$.

Substituting $ heta = 0$:

$sin(0) = 0$ and $cos(0) = 1$, hence

$ an(0) = frac{0}{1} = 0$.

Thus, the tangent is 0.

At (1, 0) on the unit circle, the angle is 0 radians.

The tangent at this angle is:

$ an(0) = frac{sin(0)}{cos(0)} = 0$.

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