How Generate sinwave function using pytorch

sinwave function:
y = A . sin(Bx) + c
and have to add gaussian noise to it +n
Updated equation : y = A . sin(Bx) + c + n

x=torch.arange(10)

x_wave=torch.sin(x)

And how fancy you want to get after that is up to you.

https://pytorch.org/docs/stable/generated/torch.sin.html

can you mention the detailed solution for this i did not understand

x = torch.linspace(0, 1, 100)
y = a* torch.sin(b * x) + c + d * torch.randn_like(x)

where a, b, c, d are scalars. d would be the (Gaussian) noise standard deviation.

for this same sin function how build an AI, training and predicting test data

Thanks in Advance