CBSE NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions PDF – is 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 exams conducted by the CBSE, including the JEE.
Chapter 2 – Inverse Trigonometric Functions covers multiple exercises. Answers to each question in every exercise are provided along with a step-by-step solution for better understanding by the student. This will prove to be most helpful to students in their home assignments as well as their practice sessions. 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 solutions provided on this page comes with detailed step by step solution which is solved by top academic experts of Embibe based on CBSE NCERT guidelines.
Inverse Trigonometric Functions Important Questions
|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) = 𝜋/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.
Embibe provides CBSE study material that covers the whole CBSE Class 12 syllabus for Maths. You can also solve Maths practice questions for every chapter in the CBSE Class 12 syllabus for Maths that will also help you in your preparation of JEE as well.
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