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Question Id : 15878 | Context : JEE Main 2019 (12 April Evening Shift)
Let $a \in \left(0, \dfrac{\pi}{2}\right)$ be fixed. If $\displaystyle \int \dfrac{\tan x + \tan a}{\tan x - \tan a} , dx = A(x)\cos 2a + B(x)\sin 2a + C,$ where $C$ is a constant of integration, then the functions $A(x)$ and $B(x)$ are respectively:


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