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Two travelling waves superpose to form a...

Two travelling waves superpose to form a stationary wave whose equation is
` y (x,t) = 5 sin (0. 1 pi x) cos 50 pi t ` where x, y are in cm and t is in x . Find the equations of the two superposing travelling waves .

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`y (x, t) = 5 sin (0 . 1 pi x) cos 50 pi t `
` = (5)/(2) xx 2 sin (0.1 pi x) cos 50 pi t `
`= (5)/(2) xx [ sin (0 . 1 pi x + 50 pi t ) + sin (0 . 1 pix - 50 pi t ) ] `
`:.` the equations of the two travelling waves are,
` y_(1) = (5)/(2) sin (0 . 1 pi x + 50 pi t)`
and ` y_(2) = (5)/(2) sin (0 . 1 pi x - 50 pi t ) `
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