Chapter 17, Problem 49AP

Two waves are described by the wave functions

$\begin{array}{l}{y}_1(x,t)=5.00\sin (2.00x-10.0t)\hfill \\ y_2(x,t)=10.0\cos (2.00x-10.0t)\hfill \end{array}$

where x, y₁, and y₂ are in meters and t is in seconds. (a) Show that the wave resulting from their superposition can be expressed as a single sine function. (b) Determine the amplitude and phase angle for this sinusoidal wave.