SSC CHSL 2023 PYQ — Question 56

The correct answer is option 2 i.e. sin²θcot²θ.

Given, $1 - \frac{tan^2θ}{sec^2θ}$

⇒ $\frac{sec^2\theta - tan^2\theta}{sec^2\theta}$ 

⇒ 1/sec²θ = cos²θ

By options,

II. sin²θcot²θ 

⇒ sin²θ × cos²θ/sin²θ = cos²θ

Hence the required answer is sin²θcot²θ .