(a) Express $\tan^{-1}\left( \frac{\cos x}{1 - \sin x} \right)$, where $-\frac{\pi}{2} < x < \frac{\pi}{2}$ in the simplest form. OR (b) Find the principal value of $\tan^{-1}(1) + \cos^{-1}\left(-\frac{1}{2}\right) + \sin^{-1}\left(-\frac{1}{\sqrt{2}}\right)$.

Year	Paper Code	Set	Position
CBSE 2024	Series Other	Set 1	Question 21
CBSE 2024	Series Other	Set 1	Question 22
CBSE 2024	Series Other	Set 1	Question 24

• 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)