Trigonometry is so much fun!

Algebra Level pending

If \(\tan { \left( \alpha +\beta \right) = } 3\tan { \alpha }\) then what is the value of \(\frac { \sin { \left( 2\alpha +\beta \right) } }{ \sin { \beta } }\)?

Disclaimer

The picture has no relevant connection to the problem. It's just there because I found it funny.

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