Class 12 Mathematics Chapter 2: Inverse Trigonometric Functions — Important Questions & Mock Tests
Practice Inverse Trigonometric Functions topic-wise important questions, MCQs and 1, 2, 3 and 5 mark questions for CBSE revision.
300 Questions 53 Topics MCQs: 100 1 Mark: 50 2 Mark: 50 3 Mark: 50 5 Mark: 50
Topic-wise important and practice questions
Review question distribution across chapter topics for MCQs, 1 Mark questions, 2 Mark questions, 3 Mark questions, 5 Mark questions.
| Topic | MCQ | 1 Mark | 2 Mark | 3 Mark | 5 Mark | Total |
|---|---|---|---|---|---|---|
| Domain and Principal Value Range of Inverse Trigonometric Functions | 15 | 0 | 0 | 0 | 0 | 15 |
| Domain Restrictions of Inverse Trigonometric Functions | 15 | 0 | 0 | 0 | 0 | 15 |
| Principal Value of Inverse Cosine | 5 | 5 | 0 | 0 | 0 | 10 |
| Principal Value of Inverse Sine | 5 | 5 | 0 | 0 | 0 | 10 |
| Principal Value of Inverse Tangent | 5 | 5 | 0 | 0 | 0 | 10 |
| Admissible Inputs and Principal-Branch Outputs | 5 | 0 | 0 | 0 | 0 | 5 |
| Assertion-Reason on Principal Values | 5 | 0 | 0 | 0 | 0 | 5 |
| Comparison of Inverse Sine and Inverse Cosine | 0 | 0 | 0 | 5 | 0 | 5 |
| Comparison of Inverse Tangent and Inverse Cotangent | 0 | 0 | 0 | 5 | 0 | 5 |
| Complete Comparison of Principal Inverse Trigonometric Functions | 0 | 0 | 0 | 0 | 5 | 5 |
| Complete Principal-Branch Domain-Range Table | 0 | 0 | 0 | 5 | 0 | 5 |
| Comprehensive Principal-Value Evaluation | 0 | 0 | 0 | 0 | 5 | 5 |
| Conceptual Overview of Inverse Trigonometric Functions | 0 | 0 | 0 | 0 | 5 | 5 |
| Constructing a Principal Inverse Branch | 0 | 0 | 0 | 5 | 0 | 5 |
| Construction of the Principal Inverse Cosine Function | 0 | 0 | 0 | 0 | 5 | 5 |
| Construction of the Principal Inverse Sine Function | 0 | 0 | 0 | 0 | 5 | 5 |
| Correcting Domain-Range Confusion | 0 | 0 | 0 | 5 | 0 | 5 |
| Difference Between f(f⁻¹(x)) and f⁻¹(f(x)) | 0 | 0 | 0 | 5 | 0 | 5 |
| Domain and Principal Value Range | 0 | 5 | 0 | 0 | 0 | 5 |
| Domain Test for an Inverse Trigonometric Function | 0 | 5 | 0 | 0 | 0 | 5 |
| Domain-Range Interchange for Inverse Functions | 0 | 0 | 5 | 0 | 0 | 5 |
| Graph Analysis of Inverse Trigonometric Functions | 0 | 0 | 0 | 5 | 0 | 5 |
| Graph Interpretation of Inverse Trigonometric Functions | 0 | 5 | 0 | 0 | 0 | 5 |
| Graph of the Principal Branch of Inverse Cosine | 5 | 0 | 0 | 0 | 0 | 5 |
| Graph of the Principal Branch of Inverse Sine | 5 | 0 | 0 | 0 | 0 | 5 |
| Graph-Based Analysis of Principal Branches | 0 | 0 | 5 | 0 | 0 | 5 |
| Graph-Based Principal-Branch Reasoning | 0 | 0 | 0 | 0 | 5 | 5 |
| Graphical Relationship Between a Function and Its Inverse | 5 | 0 | 0 | 0 | 0 | 5 |
| Graphs of Inverse Tangent and Inverse Cotangent | 5 | 0 | 0 | 0 | 0 | 5 |
| Inverse Composition Within the Principal Branch | 0 | 5 | 0 | 0 | 0 | 5 |
| Inverse Secant and Inverse Cosecant Principal Branches | 0 | 0 | 0 | 5 | 0 | 5 |
| Inverse-Function Notation versus Reciprocal | 0 | 5 | 0 | 0 | 0 | 5 |
| Limits of the Cancellation Idea for Inverse Trigonometric Functions | 0 | 0 | 0 | 0 | 5 | 5 |
| Meaning of a Principal Value | 0 | 0 | 0 | 5 | 0 | 5 |
| Meaning of Inverse-Trigonometric Notation | 5 | 0 | 0 | 0 | 0 | 5 |
| Mixed Principal-Value Evaluation | 0 | 0 | 0 | 5 | 0 | 5 |
| Need for a Principal Value Branch | 0 | 5 | 0 | 0 | 0 | 5 |
| Need for Domain Restriction Before Defining an Inverse | 5 | 0 | 0 | 0 | 0 | 5 |
| Principal Branches of Inverse Secant and Inverse Cosecant | 0 | 0 | 0 | 0 | 5 | 5 |
| Principal Branches of Inverse Tangent and Inverse Cotangent | 0 | 0 | 0 | 0 | 5 | 5 |
| Principal Value from a Standard Trigonometric Ratio | 0 | 0 | 5 | 0 | 0 | 5 |
| Principal Value of Inverse Cosecant | 5 | 0 | 0 | 0 | 0 | 5 |
| Principal Value of Inverse Cotangent | 5 | 0 | 0 | 0 | 0 | 5 |
| Principal Value of Inverse Secant | 5 | 0 | 0 | 0 | 0 | 5 |
| Principal Values of Inverse Secant and Inverse Cosecant | 0 | 0 | 5 | 0 | 0 | 5 |
| Principal Values of Inverse Sine and Inverse Cosine | 0 | 0 | 5 | 0 | 0 | 5 |
| Principal Values of Inverse Tangent and Inverse Cotangent | 0 | 0 | 5 | 0 | 0 | 5 |
| Reflection Rule for Inverse-Function Graphs | 0 | 0 | 5 | 0 | 0 | 5 |
| Restricted Trigonometric Function Used for the Principal Inverse | 0 | 5 | 0 | 0 | 0 | 5 |
| Restriction of a Trigonometric Function to a Bijective Branch | 0 | 0 | 5 | 0 | 0 | 5 |
| Systematic Strategy for Principal-Value Problems | 0 | 0 | 0 | 0 | 5 | 5 |
| Validity of Inverse Composition on the Principal Branch | 0 | 0 | 5 | 0 | 0 | 5 |
| Why Trigonometric Domains Must Be Restricted | 0 | 0 | 5 | 0 | 0 | 5 |