This is probably gonna be a dumb question but I don't know exactly where I am making the mistake. I have been taught in highschool that simple harmonic oscillator phase plot is the $sin(\omega t)$:
However now that I am thinking about it, the phase is actually only the $\phi=2\pi f t$ part and therefore the real plot should look like this:
What is the problem with the second plot? Shouldn't the second one be the phase plot?
Note: Both of the plots are for the oscillator with $f=0.25$ and $t\in[0,10]$.