The figure a) is a partial graph of the position function for a simple harmonic

Question

The figure a) is a partial graph of the position function for a simple harmonic oscillator with an angular frequency of 1 rad/s and b) is a partial graph of the corresponding velocity function v(t). The vertical axis scales are set by xs = 25 m and vs = 25 m/s. What is tan of the phase constant of the SHM if the position function is in the standard general cos form ? (note: this problem is asking for tan of the angle as opposed to the angle itself)

The figure a) is a partial graph of the position function for a simple harmonic oscillator with an angular frequency of 1 rad/s and b) is a partial graph of the corresponding velocity function v(t). The vertical axis scales are set by xs = 25 m and vs = 25 m/s. What is tan of the phase constant of the SHM if the position function is in the standard general cos form ? (note: this problem is asking for tan of the angle as opposed to the angle itself)

Explanation / Answer

Relevant equations
x = xmcos(?t + ?)
v = -?xmsin(?t + ?)

3. The attempt at a solution

For the X vs. t graph the line crosses t=0 when x = 2.6. For the V vs. t graph the line crosses t=0 when v=-5.6.

I thought then I could just plug all the number in and find out when they are equal

2.6 = 6.5cos(1.35*0+?)
-5.6 = -8.775sin(1.35*0+?)

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