SSC CGL 2023 PYQ — Question 74

The correct answer is option 4 i.e. $\frac{12}{5}$

Given that

If sec$\theta$ + tan$\theta$ = 5 ......(1

As we know, 

sec$\theta$ - tan$\theta$ = 1/ (sec$\theta$ + tan$\theta$ )

So,

sec$\theta$ - tan$\theta$ = 1/5 ......(2

Equation 1 - Equation 2 

2 tan$\theta$ = 5 - (1/5) = 24/5

tan$\theta$ = 12/5