Three component sinusoidal waves progressing in the same direction along the same path have the ...

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Three component sinusoidal waves progressing in the same direction along the same path have the same period but their amplitudes are \( A, \frac{A}{2} \) and \( \frac{A}{3} \). The phases of the variation at any position \( x \) on their path at time \( t=0 \) are \( 0,-\frac{\pi}{2} \) and \( -\pi \) respectively. Find the amplitude and phase of the resultant wave.
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