Question
Differentiate $\tan ^{-1}\left(\frac{\cos x}{1+\sin x}\right)$ w.r.t. $\sec ^{-1} x$.
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| $x$ | $0$ | $1$ | $2$ | $3$ | $4$ |
| $P ( X =x)$ | $0.45$ | $0.35$ | $0.15$ | $0.03$ | $0.02$ |