Two sound waves are $\mathrm{y}=\mathrm{A} \sin (\omega \mathrm{t}-\mathrm{kx})$ and $. \mathrm{y}=\

Question

Two sound waves are $\mathrm{y}=\mathrm{A} \sin (\omega \mathrm{t}-\mathrm{kx})$ and $. \mathrm{y}=\mathrm{A} \cos (\omega t-k x)$. Phase difference between them is\

Professor PC Thomas Classes · Answer

$y=a \sin (\omega t-k x)$\ $y^{\prime}=a \cos (\omega t-k x)$\ Express the second equation as sine using the equation $\cos (	heta-\pi / 2)=\sin 	heta$\ $	herefore \mathrm{y}^{\prime}=\mathrm{a} \cos (\omega \mathrm{t}-\mathrm{kx}+\pi / 2)$\ $	herefore$ Phase difference between a $\sin (\omega t-k x)$ and a $\cos (\omega t-k x)$ is $\pi / 2$\