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Class 12 Inverse Trigonometric Functions · Assertion Reason1 Marksassertion_reason

Class 12 Maths · Inverse Trigonometric Functions · Assertion Reason #30

Assertion: Each trigonometric function has an inverse on its full natural domain, without restricting it to a one-one branch. Reason: The inverse function of arctan:R→(−π/2,π/2) exists and is tan restricted to (−π/2,π/2).

✅ Step-by-Step Solution

Final Answer: Option (D): A is false, but R is true.
  1. Trigonometric functions repeat values on their full natural domains, so A is false. Arctangent is bijective onto its principal range and does have the stated inverse, so R is true.

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