finding sinusoidal equation from two points and their derivative

Hi

I want to find the arguments of a sinusoidal function going through 2 points for which I also now the derivative. Precision: this function has to have the largest period possible.

To resume I have two points in the space and I know the derivative in those points. I am looking for the arguments of the function:

f=a*sin(2*pi/t*(phi-phi0))+d;

Do you know how I can achieve that using Matlab?

Thanks a lot,

Jan