CBSE 2023 · Region 2 · Set 1 · Q19 · 1 mark
Assertion (A) : Maximum value of $\displaystyle \left(\cos ^{-1} x\right)^{2}$ is $\displaystyle \pi^{2}$.
Reason (R) : Range of the principal value branch of $\displaystyle \cos ^{-1} x$ is $\displaystyle \left[\frac{-\pi}{2}, \frac{\pi}{2}\right]$.
Official answer
From CBSE’s own marking scheme for this paper.
(C)
(A) is true, but (R) is false.
Inverse Trigonometric FunctionsProperties of Inverse Trigonometric FunctionsAnalyseassertion_reasonmedium
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CBSE Class 12 Mathematics past-paper question from the 2023board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.