(a) Simplify : $$\tan^{-1}\left(\frac{\cos x}{1 - \sin x}\right)$$ OR (b) Prove that the greatest integer function $f: \mathbb{R} \to \mathbb{R}$, given by $f(x) = [x]$, is neither one-one nor onto.

Year	Paper Code	Set	Position
CBSE 2023	Series Other	Set 1	Question 22
CBSE 2023	Series Other	Set 1	Question 24
CBSE 2023	Series Other	Set 1	Question 25

• Step 1: Stating the fundamental formula / law statement (+1 Mark)
• Step 2: Intermediate mathematical substitution or proof steps (+1 Mark)
• Step 3: Correct final value or conclusion with mandatory SI units (+1 Mark)