Curved boomerang trajectory equation/formula

Hey ZeroX4! So adding new features to your game I see.
I happen to be experimenting with sine waves a short while back. I haven’t finished my experiments yet because I kinda got occupied with other stuff. But I’m thinking sine waves might be of help for you. Maybe, maybe not. Then again, perhaps you already know about sine waves… How exactly do you plan on manipulating the boomerang? Like perhaps follow the crosshair? Or some other button?

But if you haven’t tried sine waves yet, here are the equations I’m experimenting with.

I got the first one from a post here somewhere, I forgot where exactly… But I’m having trouble getting it to work. I’m likely doing it wrong. The other one that I got from google, that one works okay but for me, it still needs some tweaking.

On a side note, I did try your game. It kinda reminds me of Brotato. Although I didn’t leave feedback yet since it’s still too early in development. It is still early, yes? Although I have some questions… but yeah, I better save those for when the game gets more development.

edit:
Found the post: