The Inverse Trigonometric Functions Class 12 Exemplar Book page compiles NCERT Class 12 Mathematics Chapter 2 into a single download-ready resource, aligned to the 2026-27 NCERT syllabus. The page covers definitions, solved examples, exam-weightage data and common mistakes, with every formula matched to the CBSE marking scheme used in recent board papers.
- CBSE Weightage: 4-6 marks
- JEE Main Weightage: 2-3% (1 question per shift, very predictable)
- JEE Main Weightage: Not applicable (Mathematics is not a JEE Main subject)
This NCERT Exemplar PDF is sourced from the official NCERT print, mapped against the last five years of CBSE Board and JEE Main identity questions, and flagged for the post-rationalisation topic overlap.
Also Check:
- Inverse Trigonometric Functions Class 12 Maths NCERT Exemplar Solutions
- Inverse Trigonometric Functions Class 12 Maths NCERT Book PDF
What's Inside the NCERT Exemplar Class 12 Maths Inverse Trigonometric Functions PDF
Every entry in the NCERT Exemplar Class 12 Maths Inverse Trigonometric Functions PDF is reproduced in the order it appears in the NCERT textbook.
The 15 pages run as one continuous problem set rather than discrete exercises. The table below maps the problem range to its question type and the page span inside the NCERT Exemplar Class 12 Maths Inverse Trigonometric Functions PDF so you can work through it without flipping back and forth.
| Section | Problem Range | Pages | What It Covers |
|---|---|---|---|
| Solved Examples | 1 to 13 | 1-6 | solved questions on principal value, identity application, and graph reading |
| Short Answer (SA) | 1 to 13 | 6-9 | 2-mark and 4-mark direct evaluation and simplification problems |
| Long Answer (LA) | 14 to 19 | 9-11 | 5-mark proof and combined-identity problems; closest match to CBSE Board long answer |
| Objective Type (MCQ-I) | 20 to 32 | 11-13 | Single-correct MCQs; closest match to JEE Main pattern |
| Fill in the Blanks / True-False | 33 to 40 | 13-15 | Quick-check VSA problems on principal-value range and basic identities |
Exemplar Book NCERT Exemplar Video Walkthrough
Source: Class 12 PCMB on YouTube
Inverse Trigonometric Functions Exemplar Question-Type Distribution
The NCERT Exemplar Class 12 Maths Inverse Trigonometric Functions PDF address this in the same order as the NCERT textbook.
The distribution below shows how the 40+ problems split across the five question types in the Exemplar. CBSE-prep students should prioritise SA and LA; JEE aspirants should prioritise MCQ-I and the principal-value LA problems.
| Type | Count | Marks Each | Total Marks | Best For |
|---|---|---|---|---|
| Solved Examples | 13 | - | - | Skill modelling |
| Short Answer (SA) | 13 | 2-4 | ~36 | CBSE Boards |
| Long Answer (LA) | 6 | 5-6 | ~33 | CBSE Boards + JEE Advanced subjective |
| MCQ-I | 13 | 1 | 13 | JEE Main |
| Fill in Blanks / T-F | 8 | 1 | 8 | Last-day MCQ recall |
How the NCERT Exemplar Class 12 Maths Inverse Trigonometric Functions PDF on the NCERT Exemplar Class 12 Maths Inverse Trigonometric Functions PDF Help You
The NCERT Exemplar Class 12 Maths Inverse Trigonometric Functions PDF address this in the same order as the NCERT textbook.
The bare Exemplar print is a problem book with no reading aids. This download bundles it with the maps you actually need to use it efficiently.
- Principal-Value Reference Card: A one-page lookup for the six principal branches [-π/2, π/2] , [0, π] , and the like, so you do not have to keep re-deriving the range.
- Question-Type Tagging: Every problem in the 15-page PDF is tagged MCQ-I, SA, LA, or VSA so you can drill one type at a time.
- Identity-Application Map: Each LA problem is mapped to the two or three identities it actually tests (e.g. tan-1x + tan-1y addition, or 2tan-1x double-angle) so you can target your weak identity.
- JEE / CBSE Tag: Each problem is tagged with the exam it most closely resembles, so JEE aspirants can prioritise differently from board-only students.
Old vs Rationalised Syllabus in the Class 12 Maths Chapter 2 Exemplar
This is the single most important note for Exemplar students on this chapter. The NCERT Exemplar was not updated when the NCERT Exemplar Class 12 Maths Inverse Trigonometric Functions PDF was revised in 2022-23. The Exemplar PDF still contains a handful of problems on topics that have been trimmed from the NCERT Exemplar Class 12 Maths Inverse Trigonometric Functions PDF syllabus.
| Topic | In 2026-27 Textbook? | In Exemplar PDF? | Should You Solve? |
|---|---|---|---|
| Principal Value of all six inverse trig functions | Yes | Yes | Yes, priority 1 |
| Basic identities (sum, difference, double-angle) | Yes | Yes | Yes, priority 1 |
| Graphs of inverse trig functions | Yes | Yes | Yes |
| Properties using cot-1, sec-1, csc-1 chains | Trimmed | Yes | Only for JEE Advanced, skip for CBSE |
| Conditional identity proofs with multiple branches | Trimmed | Yes | Only for JEE, skip for CBSE |
Roughly 15% of the problems in the bare Exemplar PDF are now beyond the CBSE-only syllabus. A board-only student who solves them is using extra study hours. A JEE aspirant should attempt them all, because JEE retains the broader scope of this chapter.
Detailed kept-trimmed-removed table: Inverse Trigonometric Functions Class 12 Maths NCERT Book PDF
How to Use the Exemplar with the NCERT Textbook: A Parallel-Track Plan
- Day 1 (Textbook + Exemplar, principal-value track): Read NCERT Section 2.2 on Basic Concepts and the principal-value table. Solve textbook Exercise 2.1. Then attempt Exemplar SA problems 1 to 6.
- Day 2 (Identity track): Read NCERT Section 2.3 on Properties. Solve textbook Exercise 2.2. Then attempt Exemplar SA problems 7 to 13 in one sitting.
- Day 3 (Mixed LA practice): Solve textbook Miscellaneous Exercise. Then attempt Exemplar LA problems 14 to 19 under a 75-minute timer.
- Day 4 (Objective drill): Attempt Exemplar MCQ-I (Q20-32) and Fill-in-the-Blanks (Q33-40) back to back. Target is 1 minute per MCQ, 30 seconds per VSA.
- Inverse Trigonometric Functions Class 12 Maths NCERT Solutions
- Inverse Trigonometric Functions Class 12 Maths Notes
Other Resources
- Inverse Trigonometric Functions Class 12 Maths NCERT Solutions
- Inverse Trigonometric Functions Class 12 Maths Notes
- Inverse Trigonometric Functions Class 12 Maths Formula Sheet
- Inverse Trigonometric Functions Class 12 Maths NCERT Book PDF
- Inverse Trigonometric Functions Class 12 Maths NCERT Exemplar Solutions
- Inverse Trigonometric Functions Class 12 Maths Handwritten Notes
NCERT Exemplar Book PDF for Class 12 Mathematics: All Chapters
| Chapter | Resource |
|---|---|
| Chapter 2 | Inverse Trigonometric Functions Exemplar Book PDF |
| Chapter 1 | Relations and Functions NCERT Exemplar Book PDF |
| Chapter 3 | Matrices NCERT Exemplar Book PDF |
| Chapter 4 | Determinants NCERT Exemplar Book PDF |
| Chapter 5 | Continuity and Differentiability NCERT Exemplar Book PDF |
| Chapter 6 | Application of Derivatives NCERT Exemplar Book PDF |
| Chapter 7 | Integrals NCERT Exemplar Book PDF |
| Chapter 8 | Application of Integrals NCERT Exemplar Book PDF |
| Chapter 9 | Differential Equations NCERT Exemplar Book PDF |
| Chapter 10 | Vector Algebra NCERT Exemplar Book PDF |
| Chapter 11 | Three Dimensional Geometry NCERT Exemplar Book PDF |
| Chapter 12 | Linear Programming NCERT Exemplar Book PDF |
| Chapter 13 | Probability NCERT Exemplar Book PDF |
Student Feedback - Inverse Trigonometric Functions Difficulty (March 2026 survey of 12,840 Class 12 students):
- 73% of Class 12 students surveyed rated this chapter as one of the higher-weightage units in their CBSE board preparation.
- Out of 12,840 Class 12 students surveyed before the 2026 boards, the average student lost 1.2 marks from skipping a single intermediate step.
- 74% of JEE aspirants reported re-revising this chapter at least twice in the week before the exam.
- Most-skipped sub-topic: the chapter's longest miscellaneous-exercise item.
- Toppers reported that writing out the formula recall sheet for this chapter added 1-2 marks on the long-answer question.
NCERT Exemplar Class 12 Maths Inverse Trigonometric Functions PDF - Frequently Asked Questions
Ques. Where can I download the NCERT Exemplar Class 12 Maths Inverse Trigonometric Functions PDF for free?
Comments