Given: Amplitude (maximum displacement), $A = 1 \text{ m}$ Wavelength, $\lambda = 2\pi \text{ m}$ Frequency, $f = \frac{1}{\pi} \text{ Hz}$

The wave number $k$ is calculated as: $k = \frac{2\pi}{\lambda} = \frac{2\pi}{2\pi} = 1 \text{ m}^{-1}$

The angular frequency $\omega$ is calculated as: $\omega = 2\pi f = 2\pi \times \frac{1}{\pi} = 2 \text{ rad/s}$

The general equation for a wave traveling in the positive x-direction is given by: $y = A \sin(kx - \omega t)$

Substituting the derived values into the equation: $y = 1 \sin(1x - 2t) = \sin(x - 2t)$