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Mathematics · 2023 · 1 mark
Inverse Trigonometric FunctionsProperties of Inverse Trigonometric Functions1 markAnalyseassertion reason
CBSE 2023 · Region 2 · Set 1 · Q19
Assertion (A): Maximum value of ( cos^-1 x)^2 is π^2. Reason (R): Range of the principal value branch of cos^-1 x is [(-π)/2, (π)/2].
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
(C)
(A) is true, but (R) is false.
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