A transverse periodic wave is represented by the equation y(z, t) = −2.0 cm sin(1,200 rad/s t − 20.0 m^{−1} x). Another transverse wave is represented by the equation y(z, t) = +2.0 cm sin(1,200 rad/s t + 20.0 m^{−1} z). What is the equation that represents the superposition of the two waves?

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y(z, t) = 4.0 cm sin(1,200 rad/s t − 20.0 m^{−1} z)

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y(x, t) = 4.0 cm sin(1,200 rad/s t) cos (20.0 m^{−1} x)

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y(x, t) = 4.0 cm cos(1,200 rad/s t) sin (20.0 m^{−1} x)

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y(x, t) = 4.0 cm cos(1,200 rad/s t + 20.0 m^{−1} x)