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Question
Assertion (A): Maximum value of (cos–1 x)2 is π2.
Reason (R): Range of the principal value branch of cos–1 x is `[(-π)/2, π/2]`.
Options
Both (A) and (R) are true and (R) is the correct explanation of (A).
Both (A) and (R) are true, but (R) is not the correct explanation of (A).
(A) is true, but (R) is false.
(A) is false, but (R) is true.
Solution
(A) is true, but (R) is false.
Explanation:
The maximum value of cos–1 x is π at – 1.
∴ Maximum value of (cos–1 x)2 is π2.
Range of principal value branch of cos–1 x is [0, π].
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