Evaluate the limit: lim_(theta->0) sin(theta)/theta

The problem asks to evaluate the limit:

$$\lim_{\theta \to 0} \frac{\sin \theta}{\theta}$$

This is a standard limit in calculus. The theorem states that for small values of $\theta$ approaching 0, the ratio of $\sin \theta$ to $\theta$ approaches 1.

$$\lim_{x \to 0} \frac{\sin x}{x} = 1$$

Using the fundamental limit theorem, we can directly find the value of the given limit.

$$\lim_{\theta \to 0} \frac{\sin \theta}{\theta} = 1$$