The figure shows four progressive waves $A, B, C$ and $D $ with their phases expressed with respect to the wave $A$. It can be concluded from the figure that
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(b) Equation of $A, B, C$ and $D$ are
${y_A} = A\sin \omega t$, ${y_B} = A\sin (\omega t + \pi /2)$
${y_C} = A\sin (\omega t - \pi /2)$, ${y_D} = A\sin (\omega t - \pi )$
It is clear that wave $C$ lags behind by a phase angle of $\pi /2$ and the wave $B$ is ahead by a phase angle at $\pi /2$.
${y_A} = A\sin \omega t$, ${y_B} = A\sin (\omega t + \pi /2)$
${y_C} = A\sin (\omega t - \pi /2)$, ${y_D} = A\sin (\omega t - \pi )$
It is clear that wave $C$ lags behind by a phase angle of $\pi /2$ and the wave $B$ is ahead by a phase angle at $\pi /2$.
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