1. The problem is to understand the range of the variable $\theta$ given the inequality $0 < \theta \leq 360$. 2. This means $\theta$ is an angle measured in degrees. 3. The inequality states that $\theta$ is strictly greater than 0 degrees and less than or equal to 360 degrees. 4. This range includes all angles starting just above 0 degrees up to and including 360 degrees. 5. In trigonometry and geometry, angles are often measured within this range to represent a full rotation around a circle. 6. Important note: $\theta$ cannot be 0 degrees but can be exactly 360 degrees. Final answer: $0 < \theta \leq 360$ means $\theta$ is any angle greater than 0 degrees and up to 360 degrees inclusive.