SSC CHSL 2023 PYQ — Question 74

The correct answer is option 2 i.e. 2cot²θ.

Given that

 $\frac{cosθ}{secθ-1}$ + $\frac{cosθ}{secθ + 1 }$

⇒ $\frac{cosθ}{secθ-1}$ + $\frac{cosθ}{secθ + 1 }$ 

⇒ $\frac{cosθ(secθ+1) + cosθ(secθ-1) }{sec^2θ-1}$ 

⇒ $\frac{cosθsecθ+cosθ + cosθsecθ-cosθ }{sec^2θ-1}$

⇒ $\frac{2 }{tan^2θ}$

⇒ 2cot²θ