NCERT Solutions for Class 12 Maths Chapter 2 – Inverse Trigonometric Functions PDF: Embibe’s NCERT Solutions are prepared by some of India’s best teachers. All the important topics are covered with a detailed explanation to help students understand the basic concepts better. NCERT books play a crucial role in the preparation for all board exams as well as various competitive exams like JEE Main, JEE Advanced, BITSAT, etc.
Chapter 2 – Inverse Trigonometric Functions covers multiple exercises. Answers and solutions to each question in every exercise are provided in a step-by-step manner for better understanding by the student. This will prove to be most helpful to students to complete their home assignments as well as to revise before exams. Read on to find out everything about CBSE NCERT Solutions for Class 12 Maths Chapter 2.
NCERT Solutions for Class 12 Maths Chapter 2 PDF Download
Students can also download the CBSE NCERT Solutions for Class 12 Maths Chapter 2 PDF from this page for free. All the questions from Chapter 2 of NCERT Class 12 Maths book come with detailed, step-by-step solutions. The solutions for Inverse Trigonometry Class 12 NCERT PDF are solved by top academic experts of Embibe based on CBSE NCERT guidelines.
Inverse Trigonometric Functions Important Questions
Some of the important questions from CBSE Class 12 Maths Chapter 2 – Inverse Trigonometric Functions are as under:
|Important Previous Year Important Questions For Inverse Trigonometric Functions |
1. Determine the principal value of cos-1( -1/2)
2. Find the value of cot (tan-1 α + cot-1 α)
3. Find the value of tan-1 √3 – sec-1(–2) is equal to
(A) π (B) – π/3 (C) π/3 (D) 2π/3
4. Prove that sin-1 (3/5) – sin-1 (8/17) = cos-1 (84/85)
5. Find the value of cos-1 (1/2) + 2 sin-1 (1/2)
6. Find the principal value of tan-1 (1)
7. If tan-1 (x − 1)/(x − 2) + tan-1 (x + 1)/(x + 2) = ?/4 , then find the value of x.
8. Solve tan-1 2x + tan-1 3x = π/4
CBSE NCERT Solutions For Class 12 Maths Chapter 2
The concepts included in the Inverse Trigonometric Functions chapter are tabulated below:
|Ex 2.2||Basic Concepts|
|Ex 2.3||Properties of Inverse Trigonometric Functions|
NCERT Solutions For Class 12 Maths Chapter 2 Inverse Trigonometric Functions: Chapter Summary
In Chapter 1, you have studied that the inverse of a function f, denoted by f–1, exists if f is one-one and onto. There are many functions which are not one-one, onto or both and hence, we can not talk of their inverses. In Class XI, you have learned that trigonometric functions are not one-one and onto over their natural domains and ranges and hence, their inverses do not exist.
In this chapter, you will study the restrictions on domains and ranges of trigonometric functions that ensure the existence of their inverses and observe their behaviour through graphical representations. Besides, some elementary properties will also be discussed. The inverse trigonometric functions play an important role in Calculus for they serve to define many integrals. Also, the concepts of inverse trigonometric functions are also used in science and engineering.
FAQs On CBSE NCERT Solutions For Class 12 Maths Chapter 2
Some of the FAQs related to Inverse Trigonometric Functions Class 12 solutions PDF and their answers are as under:
Q1. Where can I find NCERT Solutions for Class 12 Maths Chapter 2 online?
A. You can find Class 12 Maths Chapter 2 Solutions PDF for free on Embibe.
Q2. Are the NCERT 12th Maths Ch 2 solutions provided by Embibe free?
A. Yes, all NCERT solutions provided by Embibe are free to download. You do not even have to register or signup.
Q3. Where can I solve NCERT Class 12 Maths Chapter 2 questions online?
A. You can solve free CBSE Class 12 Maths Chapter 2 questions on Embibe. All questions come with detailed solutions.
Q4. Where can I get NCERT Class 12 Maths Solutions?
A. Follow this link and you’ll get NCERT Solutions for Class 12 Maths of all chapters on Embibe.
Q5. What are the topics covered in NCERT Solutions For Class 12 Maths Chapter 2 PDF?
A. The main topics of NCERT Class 12 Chapter 2 is:
NCERT Solutions For Class 12 Maths Chapter 2 Exercise 2.1: Introduction
NCERT Solutions For Class 12 Maths Chapter 2 Exercise 2.2: Basic Concepts
NCERT Solutions For Class 12 Maths Chapter 2 Exercise 2.3: Properties of Inverse Trigonometric Functions
Download NCERT Solutions for Class 12 Maths for other chapters from the table below:
|Class 12 Maths Chapter 1 Solutions||Class 12 Maths Chapter 3 Solutions||Class 12 Maths All Chapters Solutions|
Embibe provides CBSE study material that covers the whole CBSE Class 12 syllabus for Maths. You can also take JEE Main Mock Tests for every chapter in the CBSE Class 12 syllabus for Maths that will also help you in your preparation for JEE as well.
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