Answer:
The
given equation is \[y=A\sin \left( \omega t-kx \right)\]
The argument of a trigonometrical function,
i.e., angle is dimensionless
i.e., \[\omega t=\theta \]
\[\omega =\frac{\theta }{t}=\frac{1}{T}={{T}^{-1}}=\left[
{{M}^{0}}{{L}^{0}}{{T}^{-1}} \right]\]
Also, \[k\,x=\theta \]
\[k\,=\frac{\theta
}{x}=\frac{1}{L}={{L}^{-1}}=\left[ {{M}^{0}}{{L}^{-1}}{{T}^{0}} \right]\]
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