Here is a graph of $y = ext{sin} heta$ for $0 ext{ } heta ext{ } 360$ - Edexcel - GCSE Maths - Question 18 - 2021 - Paper 2

To find the solutions of $ext{sin} \theta = 0.6$ from the graph:

1. Identify the points where the graph intersects the line $y = 0.6$.
2. From the graph, the first intersection occurs at approximately $37^\circ$. The second solution, found in the first period ($0 \leq \theta < 360$), is approximately $143^\circ$.
3. For the second period ($360 < \theta \leq 720$), the corresponding solutions will be:
   • Third solution: $397^\circ$ (which is $360 + 37$)
   • Fourth solution: $503^\circ$ (which is $360 + 143$)

Thus, the four solutions are approximately $37^\circ$, $143^\circ$, $397^\circ$, and $503^\circ$.