Two simple harmonic motions are given by and above, the minimum phase difference between the two simple harmonic motions is (in degrees)
Amplitude of the first simple harmonic motion is
Amplitude of the second motion is
We can rewrite the two motions as
From (1) and (2) it follows that the amplitudes are a and (a result obtained above) the phases are 60 and 45°. Therefore, phase difference = 60°- 45° = 15°