Inverse Trigonometric Functions
NCERT Exemplar Class 12
CBSE
Grade 12
Question:
The maximum value of $\sin^{-1} x + \cos^{-1} x$ is:
(a) $\dfrac{\pi}{2}$
(b) $\pi$
(c) $2\pi$
(d) $0$
Step-by-Step Solution
Identity $\sin^{-1} x + \cos^{-1} x = \pi/2$ for all $x \in [-1,1] \Rightarrow$ Maximum value $= \pi/2$. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Selecting $\pi/2$: 1.0 Mark
Correct Answer: $\dfrac{\pi}{2}$
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