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