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Inverse Trigonometric Functions
NCERT Exemplar Class 12
CBSE
Grade 12
Question:
The principal value branch of $\sec^{-1} x$ is: (a) $[0, \pi] \setminus \left\{\dfrac{\pi}{2}\right\}$ (b) $\left[-\dfrac{\pi}{2}, \dfrac{\pi}{2}\right] \setminus \{0\}$ (c) $[0, \pi]$ (d) $(-\text{inf}, \text{inf})$
Step-by-Step Solution
Principal value branch of $\sec^{-1} x$ is $[0, \pi] \setminus \{\pi/2\}$. [1.0 Mark]
--- 🎯 Official CBSE Marking Scheme: Selecting $[0, \pi] \setminus \{\pi/2\}$: 1.0 Mark