A wave travelling in the +ve x-direction having displacement along y-direction as 1 m, wavelength 2π m and frequency of 1/π Hz is represented by

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(3) y=sin(x-2t). Given: amplitude 1 m, λ=2π m, f=1/π Hz, travelling along +x. Idea: turn each given quantity into the constant it fixes in y=A sin(kx-ω t). k=(2π)/λ=(2π)/(2π)=1 m⁻¹. ω=2π f=2π×1/π=2 rad s⁻¹. Amplitude =1, so the sine needs no prefactor. Opposite signs on x and t give travel along +x: y=sin(x-2t).

A wave travelling in the +ve x-direction having displacement along y-direction as 1 m, wavelength 2π m and frequency of 1/π Hz is represented by

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