Find the value of

If $ sin(\alpha+\beta)=1 $ and $ sin(\alpha-\beta)=\frac{1}{2} $ , where $ 0\le\alpha , \beta\le\frac{\pi}{2} $, then find the value of $ tan(\alpha+2\beta)  $ and $ tan(2\alpha+\beta)  $.
Kindly show all the steps.

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