A wave represented by the equation $y = A cos (kx - \omega t)$ is superimposed with another wave to form a statioary wave such that the point $x =0$ is a node. The equation of the other wave is:
Diffcult
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$y_{1}=A \cos (k x-\omega t)$
$\mathrm{y}_{2}=\mathrm{A} \cos (\mathrm{kx}+\omega \mathrm{t}+\phi)$
$y_{1}+y_{2}=2 A \cos 20\left(k x+\frac{\phi}{2}\right) \cos \left(\omega t+\frac{\phi}{2}\right)$
$\cos \frac{\phi}{2}=0 ; \phi=\pi$
$y_{2}=-A \cos (k x+\omega t)$
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