A wave which travels continuously in a medium in the same direction without the change in its amplitude is called a progressive wave. Equation of progressive wave is given as y(x,t)=Asin‌(ωt−kx+φ) We can write the above equation as a linear combination of sine and cosine function as, y(x,t)=Asin‌(kx−ωt)+B‌cos(kx−ωt) Hence, among the given options y=3sin‌(5x−0.5t)+4‌cos(5x−0.5t) represents the equation of progressive wave.
