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Given two wave equations, ?1(?, ?) = ? sin(?? − ?? + ?1) and ?2(?, ?)...

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Physics

  1. Given two wave equations, ?1(?, ?) = ? sin(?? − ?? + ?1) and?2(?, ?) = ? sin(?? − ?? + ?2), what is the linear combination ofthe two wave equations where both waves have the same wavelengthand angular frequency but ? ≠ ? and ?1 ≠ ?2? That is, what is ?1+ ?2 given different amplitudes of oscillation and phase constants?Your answer must be in the form of?3(?, ?) = ? sin(?? − ?? + ?3)where ? is the amplitude of oscillation of the new resultant waveand ?3 is a new phase constant. Be sure to give an expression for ?and ?3. Show how you get to your answer. Do not simply show an endresult. Hint: Trigonometric identities will be useful here.

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