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Class 12 Inverse Trigonometric Functions · Assertion Reason1 Marksassertion_reason

Class 12 Maths · Inverse Trigonometric Functions · Assertion Reason #24

Assertion: The real domain of f(x)=sin⁻¹x+cos x is [−1,1]. Reason: The domain of a function is the set of all inputs for which it is defined.

✅ Step-by-Step Solution

Final Answer: Option (A): Both A and R are true, and R correctly explains A.
  1. Arcsine requires x∈[−1,1], while cosine is defined on all of R. Their intersection is [−1,1], applying the stated definition.

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