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9.2 Show that the standing wave f(z,t) = Asin(kz)cos(kvt) satisfies the wave equation, and express it as the sum of a wave travelling to the left and a wave traveling to the right as shown in the following equation:
F(z,t) = g(z -vt) + h(z + vt)

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It shows that a certain standing wave can be expressed as the sum of a wave travelling to the left and a wave traveling to the right.

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