Find ye (x) and yt (t). keep in mind that yt (t) should be a trigonometric function of unit amplitude. express your answers in terms of a, k, x, ω (greek letter omega), and t. separate the two functions with a comma.

ye (x) is an envelop it depends only on the positions and yt (t) it depends only on the time. Using the equation1 y (x, t) = A sin (kxâ’ωt) we can find ye (x) and yt (t). Here x value is positive so we can alter that equation1 in positively that is equation2 y (x, t) = Asin (kx+ωt). Let y (x, t) = A sin (kxâ’ωt) = A (sin (kx) cos (ωt) â’cos (kx) sin (ωt)). Sum of equation1 and equation2 then the result is 2A sin (kx), sin (ωt).