I am a beginner at Mathematica, and I am having some trouble deciding on the correct way to input certain areas of this problem.

The problem reads: Find the equation of the tangent line for the following function. Then plot the original equation and the tangent line on the same graph. x=cos(pi*t), y=t^3+2t, (0,9/8)

I am unsure how to input the point given into the equation. When I have attempted in several different ways, I always end up with the error code ComplexInfinity. I would appreciate help with me solving this problem and potentially plotting the equations on the same line, as I have not gotten that far.

This is what I have so far: