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A wave is represented by the equation $y(x,t)=3\mathrm{.}2$cmsin$(1000ra\frac{d}{s}t-50m^{-1}x).$ Another wave, with the same wavelength and frequency, has an amplitude of $4\mathrm{.}2$ cm $.$ If the two waves interfere destructively, then which equation could represent the superposition of the two waves?

Multiple Choice

$y(x,t)=7\mathrm{.}4$cmsin$(1000ra\frac{d}{s}t-50\mathrm{.}0m^{-1}x)$

$y(x,t)=1\mathrm{.}0$cmsin$(1000ra\frac{d}{s}t-50\mathrm{.}0m^{-1}x)$

$y(x,t)=1\mathrm{.}0$cmsin$(1000ra\frac{d}{s}t+50\mathrm{.}0m^{-1}x)$

$y(x,t)=7\mathrm{.}4$cmsin$(1000ra\frac{d}{s}t+50\mathrm{.}0m^{-1}x)$