Class CBSE Class 12 Mathematics Inverse Trigonometric Functions Q #861
KNOWLEDGE BASED
APPLY
2 Marks 2023 VSA
Write the domain and range (principle value branch) of the following functions: f(x)=tan⁻¹x
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Step-by-Step Solution

The function is f(x) = tan⁻¹x.

1. Domain: The domain of tan⁻¹x is all real numbers.

2. Range (Principal Value Branch): The range of tan⁻¹x is (-π/2, π/2).

Correct Answer: Domain: R, Range: (-π/2, π/2)

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Pedagogical Audit
Bloom's Analysis: This is an APPLY question because the student needs to apply their knowledge of the standard domain and range of the inverse tangent function.
Knowledge Dimension: FACTUAL
Justification: The question requires recalling specific facts about the inverse tangent function, namely its domain and range.
Syllabus Audit: In the context of CBSE Class 12, this is classified as KNOWLEDGE. The question directly tests the student's knowledge of the properties of inverse trigonometric functions as covered in the textbook.

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