The value of is

Note: Since all the options involve the trigonometric ratios cosec θ and cot θ, so we divide the whole term (numerator as well as denominator) by sin θ.

To find:

Consider

Dividing numerator and denominator by sin θ, we get

Rationalizing the term by multiplying it by ,

Now, as 1 + cot² θ = cosec² θ

⇒ cosec² θ – cot² θ = 1