SSC CGL 2020 PYQ — Question 64

The correct answer is option 4 i.e. $\frac{65}{144}$

⇒ $\frac{secθ + tanθ}{secθ - tanθ}$= 2$\frac{51}{79}$ 

⇒ (sec$\theta$ + tan$\theta$)/(sec$\theta$ - tan$\theta$) = 209/79.

By using componendo and dividendo we get,

⇒ (2sec$\theta$)(2tan$\theta$) = 288/130

⇒ 1/sin$\theta$ = 144/65

sin$\theta$ = 65/144.