1. **Problem Statement:** Given that $\tan(\theta) = 1$, find the value of $\theta$. 2. **Formula and Explanation:** The tangent function is defined as $\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}$. 3. We need to find the angle $\theta$ where the ratio of sine to cosine equals 1. 4. Recall that $\tan(\theta) = 1$ at angles where sine and cosine are equal in magnitude and sign. 5. From the unit circle, $\tan(45^\circ) = 1$ because $\sin(45^\circ) = \cos(45^\circ) = \frac{\sqrt{2}}{2}$. 6. Therefore, the value of $\theta$ that satisfies $\tan(\theta) = 1$ in the principal range is $\boxed{45^\circ}$. 7. Other angles where tangent equals 1 are $45^\circ + k \times 180^\circ$ for any integer $k$, but the common answer is $45^\circ$. **Final answer:** $\theta = 45^\circ$.