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Three travelling waves are superimposed....

Three travelling waves are superimposed. The equations of the wave are
`y_(!)=A_(0) sin (kx-omegat), y_(2)=3 sqrt(2) A_(0) sin (kx-omegat+phi)` and `y_(3)=4 A_(0) cos (kx-omegat)`
find the value of `phi ("given "0 le phi le pi//2)` if the phase difference between the resultant wave and first wave is `pi//4`

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