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Class 12 Inverse Trigonometric Functions · Assertion Reason1 Marksassertion_reason

Class 12 Maths · Inverse Trigonometric Functions · Assertion Reason #27

Assertion: sin⁻¹(−x)=−sin⁻¹x for x∈[−1,1]. Reason: sin⁻¹:[−1,1]→[−π/2,π/2] is bijective.

✅ Step-by-Step Solution

Final Answer: Option (B): Both A and R are true, but R does not correctly explain A.
  1. Both are true, but bijectivity alone does not imply oddness. Oddness follows from sin(−θ)=−sin θ together with the symmetric principal interval.

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