Alright so, I did first-year university level maths so I know enough to be dangerous, but not enough to follow anything exciting.
Where is sin(x) undefined? That's a concept I'm not aware of, and I love myself a function with random quirks - so would love to be pointed in a direction to learn more...
...and more importantly, can you add additional function intervals within the current gaps to draw a single curve in that new interval, so as to output an almighty upwards-trending UwUwUwUwUwU...?