Question

Y = 6 sin(x) y = 6 cos(x) 0 ≤ x ≤ π/4 about y = −1

Answer 1

To find the wave functions that interfere to form the given wave function, we need to consider the trigonometric functions in the equation. The given wave function can be expressed as the sum of two waves. To verify this, plot the two wave functions separately and then sum them at a specific time.

Step-by-step explanation:

To find the wave functions that interfere to form the given wave function, we need to consider the trigonometric functions in the equation. The given wave function can be expressed as the sum of two waves: y1(x, t) = 6.00 cm sin(3.00 m^-1 x + 1.20 rad) cos(6.00 s^-1t + 1.20 rad) and y2(x, t) = 6.00 cm sin(3.00 m^-1 x - 1.20 rad) cos(6.00 s^-1t - 1.20 rad).

To verify this, plot the two wave functions separately and then sum them at t = 1.00 s. The sum of the two wave functions should match the given wave function.