Need help in Phase of time in SHM

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To find the phase of the particle's motion at t=1.38s, the relevant equation is x = (6.0m) cos(0.586t + 0.72). The phase angle is determined by the expression inside the cosine function, which is (0.586*t + 0.72) radians. At t=1.38s, the correct calculation for the phase should be performed using this expression. The initial attempt mistakenly identified the phase, emphasizing the importance of correctly interpreting the equation. Understanding the phase in the context of simple harmonic motion is crucial for solving such problems accurately.
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Hi, I'm very confused about one question in my homework, that is due today.
I appreciate any help.Thank you very much.

1. Homework Statement

The motion of a particle is given by: x = (6.0m) cos(0.586t + 0.72)
Find the phase at time t=1.38s

2. Homework Equations

Simple harmonic motion

The Attempt at a Solution


I found the point 0.25262 m and the phase 2pi(1.38)/10.72
 
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The "phase [angle]" is [usually] the expression inside the the cosine function: (0.586*t+0.72) radians.
So, your point is the position at t=1.38s. However, you didn't correctly identify the phase.

I say "usually" because some texts might have defined it using another function (like the sine function).
 
thanks
 
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