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y[1]+y[2]=A*cos(2pi(t/T-x/λ))+A*cos(2pi(t/T +x/λ).......factor out A

y[1]+y[2]=A(cos(2pi(t/T-x/λ))+cos(2pi(t/T +x/λ))


using cos(u-v) and cos(u+v) you prove that


then you have 


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