\( \begin{array}{l}\tan ^{-1}\left[\frac{3 \sin 2 \alpha}{5+3 \cos 2 \alpha}\right]+\tan ^{-1}\l...
\( \begin{array}{l}\tan ^{-1}\left[\frac{3 \sin 2 \alpha}{5+3 \cos 2 \alpha}\right]+\tan ^{-1}\left[\frac{\tan \alpha}{4}\right] \\ =\frac{\lambda \alpha}{4} \text { where }-\frac{\pi}{2}\alpha\frac{\pi}{2}, \alpha \neq 0 \text { then find } \lambda .\end{array} \)
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