On the superposition of two harmonic oscillations represented by ${x_1} = a\,\sin \,\left( {\omega t + {\phi _1}} \right)$ and ${x_2} = a\,\sin \,\left( {\omega t + {\phi _2}} \right)$ a resulting oscillation with the same time period and amplitude is obtained. The value of ${\phi _1} - {\phi _2}$ is .... $^o$
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