JEE Main 2019 — Math solution | Fundamenthol

JEE Main2019Math

Q.

Let $α$ $\in$ (0, $π$ /2) be fixed. If the integral $\int \frac{tan x + tan α}{tan x - tan α} d x =$ A(x) cos2 $α$ + B(x) sin2 $α$ + C, where C is a constant of integration, then the functions A(x) and B(x) are respectively :

A
x – $α$ and log_e |cos(x – $α$ )|
B
x + $α$ and log_e |sin(x – $α$ )|
C
x – $α$ and log_e |sin(x – $α$ )|
D
x + $α$ and log_e |sin(x + $α$ )|

Solution

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