A transverse wave of amplitude 0.5 m and wavelength 1 m and frequency 2 Hz is propagating in a string in the negative x-direction. The expression for this wave is

(1) $y\left(x,\text{\hspace{0.17em}}t\right)=0.5\mathrm{sin}\left(2\pi x-4\pi t\right)$

(2) $y\left(x,\text{\hspace{0.17em}}t\right)=0.5\mathrm{cos}\left(2\pi x+4\pi t\right)$

(3) $y\left(x,\text{\hspace{0.17em}}t\right)=0.5\mathrm{sin}\left(\pi x-2\pi t\right)$

(4) $y\left(x,\text{\hspace{0.17em}}t\right)=0.5\mathrm{cos}\left(2\pi x+2\pi t\right)$

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