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Class 12 Inverse Trigonometric Functions · Assertion Reason1 Marksassertion_reason

Class 12 Maths · Inverse Trigonometric Functions · Assertion Reason #32

Assertion: The maximum value of (cos⁻¹x)² for x∈[−1,1] is π². Reason: The principal arccosine range is [−π/2,π/2].

✅ Step-by-Step Solution

Final Answer: Option (C): A is true, but R is false.
  1. Arccosine actually ranges over [0,π]; its square therefore has maximum π², attained at x=−1. A is true and R false.

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