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Missing template due to being originally posted in different forum

Given a position vs time graph of simple harmonic motion of an object and using the equation

x(t) = x

I can easily find A and the period (T).

I also know T = 2 pi / ω, so I can find ω.

But I don't know x(t) and t. I tried finding random points in the graph and plugging them in to the rearranged equation:

sin

but I'm getting numbers that change depending on x(t) and t.

So how am I supposed to get Φ and should it not be constant?

x(t) = x

_{o}= A sin (ωt +Φ), how am I supposed to find Φ?I can easily find A and the period (T).

I also know T = 2 pi / ω, so I can find ω.

But I don't know x(t) and t. I tried finding random points in the graph and plugging them in to the rearranged equation:

sin

^{-1}(x(t)- x_{o}/ (A)) - ωt = Φbut I'm getting numbers that change depending on x(t) and t.

So how am I supposed to get Φ and should it not be constant?