Let $\alpha \in(0, \pi / 2)$ be fixed. If the integral $\int \frac{\tan x+\tan \alpha}{\tan x-\tan \alpha} d x=A(x) \cos 2 \alpha+B(x) \sin 2 \alpha+C$, where $C$ is a constant of integration, then the functions $A(x)$ and $B(x)$ are respectively :
Select the correct option:
A
$x-\alpha$ and $\log _e|\cos (x-\alpha)|$
B
$x+\alpha$ and $\log _e|\sin (x-\alpha)|$
C
$x-\alpha$ and $\log _e|\sin (x-\alpha)|$
D
$\mathrm{x}+\alpha$ and $\log _{\mathrm{e}}|\sin (\mathrm{x}+\alpha)|$
Hello 👋 Welcome to Competishun – India’s most trusted platform for JEE & NEET preparation. Need help with JEE / NEET courses, fees, batches, test series or free study material? Chat with us now 👇
