Assertion (A) : Maximum value of (\cos^{-1}x)^2 is ...

CBSE Class 12 Math 2023 All Sets Solved Paper

Question : 20 of 20

Marks: +1, -0

Assertion (A) : Maximum value of

(cos^{-1}x)^2

π^2.

Reason (R): Range of the principal value branch of

cos^{-1} x

[-π\/2, π\/2].

Solution:

Range of the principal value branch of

cos^{-1}x

is [0, π].
∴ The maximum value of

(cos^{-1}x)^2

π^2

.
(A) is true, but (R) is false.

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