I calculated $\sin(\tan^{-1}(\sqrt{2}))$ using [Wolfram](https://www.wolframalpha.com/input/?i=sen%28tg%5E%7B-1%7D%28%5Csqrt%282%29%29) and got it as a result $\sqrt{\frac{2}{3}}$. However, I was unable to find an identity to obtain this result.

Is there any way to calculate this value without using Wolfram?