Two waves have equations $x_1 = a \sin(\omega t + \phi_1)$ and $x_2 = a \sin(\omega t + \phi_2)$. If the frequency and amplitude of the resultant wave remain equal to those of the superimposing waves,then the phase difference between them is:

  • A
    $\frac{\pi}{6}$
  • B
    $\frac{2\pi}{3}$
  • C
    $\frac{\pi}{4}$
  • D
    $\frac{\pi}{3}$

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