Two transverse waves travel along the same taut string and interfere. Waves 1 and 2 are described, respectively, by the function y1(x, t) = A sin(kx - ωt) and y2(x, t) = A cos(3kx + 3ωt). The phases (arguments of the sine and cosine functions) are in radians, as usual, and A = 5.8 cm, k = 5.7 rad/m, ω = 2.8 rad/s. Use the trigonometric identity to find the correct total wave function for the interfering waves on the string using the principle of superposition. For A = 5.8 cm, k = 5.7 rad/m, and ω = 2.8 rad/s, calculate the total displacement of the string, in centimeters, at the position x = 2.1 m at time t = 5.3 s.

Two transverse waves travel along the same taut string and interfere. Waves 1 and 2 are described, respectively, by the function y1(x, t) = A sin(kx - ωt) and y2(x, t) = A cos(3kx + 3ωt). The phases (arguments of the sine and cosine functions) are in radians, as usual, and A = 5.8 cm, k = 5.7 rad/m, ω = 2.8 rad/s. Use the trigonometric identity to find the correct total wave function for the interfering waves on the string using the principle of superposition. For A = 5.8 cm, k = 5.7 rad/m, and ω = 2.8 rad/s, calculate the total displacement of the string, in centimeters, at the position x = 2.1 m at time t = 5.3 s.