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

Given two wave equations, ?1(?, ?) = ? sin(?? − ?? + ?1) and ?2(?, ?) = ? sin(?? − ?? + ?2), what is the linear combination of the two wave equations where both waves have the same wavelength and 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 wave and ?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 end result. Hint: Trigonometric identities will be useful here.

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genius_generous answered 1 year ago

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