State the range of $\tan^{-1} p$.[1] Given that $\cos^{-1} k = x$, where \(0 \le x \le

Question

State the range of $\tan^{-1} p$.[1] Given that $\cos^{-1} k = x$, where $0 \le x \le \frac{\pi}{2}$, find the principal value of $\cos^{-1} (-k)$.[1]

Accepted Answer

(a) $ -\dfrac{\pi}{2}<\tan^{-1}p<\dfrac{\pi}{2} $ (b) $\pi-x$

2025 DSS PRELIMS P1 Q2

2025 DSS PRELIMS P1 Q2

Solution:

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