If $\frac{\sin (2A + B)}{\sin B} = 5,$ then find $\frac{\tan (A + B)}{\tan A}.$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
If $\frac{\sin (2A + B)}{\sin B} = 5,$ then find $\frac{\tan (A + B)}{\tan A}.$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{3}{2}
If $\frac{\sin (2A + B)}{\sin B} = 5,$ then find $\frac{\tan (A + B)}{\tan A}.$
train