1. **Problem statement:** Find all angles that satisfy the given condition (the problem is incomplete, so we assume a general approach to finding all angles in trigonometry. 2. **General formula for angles:** Angles in trigonometry repeat every $360^\circ$ or $2\pi$ radians. If $\theta$ is a solution, then all solutions are given by: $$\theta = \theta_0 + 360^\circ k \quad \text{or} \quad \theta = \theta_0 + 2\pi k$$ where $k$ is any integer. 3. **Example:** If the problem was to find all angles where $\sin \theta = \frac{1}{2}$, the principal solutions are $\theta_0 = 30^\circ$ and $150^\circ$. 4. **All solutions:** Using the formula: $$\theta = 30^\circ + 360^\circ k \quad \text{or} \quad \theta = 150^\circ + 360^\circ k$$ for any integer $k$. 5. **Explanation:** This means the sine function repeats every full rotation, so adding multiples of $360^\circ$ gives all possible angles with the same sine value. Since the original problem is incomplete, this is the general method to find all angles once a specific angle or condition is given.