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प्रश्न
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]`.
विकल्प
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.
उत्तर
(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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