Find solutions to your problems with the help of IDNLearn.com's knowledgeable users. Get timely and accurate answers to your questions from our dedicated community of experts who are here to help you.

A transverse wave given by y₁ = A sin(ωt - kx) is sent down a string. Upon reflection, it becomes y₂ = -1/2A sin(ωt + kx). Show that the resultant of these two waves on the string can be written as the combination (sum) of a traveling wave φ₃(x, t) and a standing wave φ₄(x, t). Specify the amplitude of φ₃(x, t) and φ₄(x, t). Reminder: sin(u ± v) = sin(u) cos(v) ± cos(u) sin(v).