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NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions

NCERT Solutions for Class 12 Maths Chapter 2 is provided in the article below to help CBSE Class 12 students with their exam preparation. Students can find all the solutions to chapter 2 on this page!
authorImageKrati Saraswat18 Jan, 2024
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NCERT Solutions for Class 12 Maths Chapter 2

NCERT Solutions for Class 12 Maths Chapter 2: NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions provide answers to all the questions in the NCERT textbook. These solutions aim to help students better prepare for the Class 12 CBSE Board exams.

Step-by-step solutions for all the questions listed under the chapters of the NCERT textbook are available. The NCERT Solutions for Class 12 Maths are prepared by subject experts according to the latest CBSE syllabus, considering the specific requirements of students for the CBSE Board examination for Class 12 Maths.

CBSE Class 12 Maths Syllabus

NCERT Solutions for Class 12 Maths Chapter 2 Overview

NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions hold significance in calculus for determining various integrals. These functions find applications not only in calculus but also in areas like science and engineering. This chapter imparts knowledge about limitations on the domains and ranges of trigonometric functions, ensuring the existence of their inverses. Students will observe the behaviour of these functions through graphical representations, accompanied by examples. Additionally, elementary properties will be discussed, supported by examples. By following these NCERT Solutions , students can comprehend various methods for solving different questions related to inverse trigonometric functions.

NCERT Solutions for Class 12 Maths Chapter 1

NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Exercises

Chapter 2 of NCERT Class 12 Mathematics, titled Inverse Trigonometric Functions, gives an introduction to different subjects. It includes explanations about fundamental ideas of inverse trigonometric functions, characteristics of these functions, and different instances. The explanations are clear and supported by examples. You can find answers to the exercises in this chapter here.
NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Exercises
Exercise 2.1
Exercise 2.2
Miscellaneous Exercise

Benefits of NCERT Solutions for Class 12 Maths Chapter 2

NCERT Solutions for Class 12 Maths Chapter 2, focusing on Inverse Trigonometric Functions, offer several benefits to students, enhancing their learning experience and exam preparation.
  1. Concept Clarity: The solutions provide clear explanations and step-by-step procedures, aiding students in understanding the intricate concepts of inverse trigonometric functions. This clarity is essential for building a strong foundation in mathematics.
  2. Exam Preparation: NCERT Solutions serve as a comprehensive resource for exam preparation. By practising with these solutions, students familiarise themselves with the question patterns and gain confidence in approaching problems that may appear in their Class 12 exams.
  3. Self-assessment: The solutions enable students to assess their understanding independently. With detailed explanations, they can identify areas of strength and weakness, allowing targeted revision and improvement.
  4. Problem-solving Skills: By tackling the exercises in NCERT Solutions, students develop problem-solving skills. The stepwise approach provided in the solutions aids in learning effective problem-solving techniques.
  5. Application of Concepts: The solutions illustrate the practical application of inverse trigonometric functions, demonstrating how these functions are used to solve real-world problems. This application-oriented approach enhances the students' understanding of the relevance of mathematical concepts.
  6. Resource for Homework and Assignments: NCERT Solutions serve as a valuable resource for completing homework and assignments. Students can refer to these solutions to verify their answers and ensure the accuracy of their work.
  7. Consistency in Syllabus: The solutions adhere to the NCERT curriculum, ensuring that students cover all the topics prescribed for Class 12 Maths. This consistency is crucial for students appearing in board exams, as questions are based on the prescribed syllabus.
  8. Structured Learning: The solutions provide a structured learning experience. Students can follow a logical progression of concepts, making it easier to grasp the complexities of inverse trigonometric functions.
  9. Accessible and Free: NCERT Solutions are widely accessible and available for free, making them an inclusive resource for students across different backgrounds. This accessibility promotes equitable learning opportunities.
  10. Preparation for Competitive Exams: Beyond board exams, understanding inverse trigonometric functions is essential for various competitive exams. NCERT Solutions equip students with the necessary skills and knowledge for tackling advanced mathematical problems.

NCERT Solutions for Class 12 Maths Chapter 3

How to Prepare With NCERT Solutions for Class 12 Maths Chapter 2

Preparing with NCERT Solutions for Class 12 Maths Chapter 2, which covers Inverse Trigonometric Functions, is a strategic approach that can significantly enhance students' understanding and performance. Here's a detailed guide on how to effectively prepare using these solutions:
  1. Understand the Concepts: Begin by thoroughly understanding the concepts of inverse trigonometric functions. Use the NCERT textbook to grasp the fundamentals and definitions associated with these functions.
  2. Read NCERT Solutions: Go through the NCERT Solutions for Chapter 2. Pay close attention to the step-by-step explanations provided for each question. Ensure that you understand the logic and reasoning behind each solution.
  3. Practice Regularly: Practise solving problems regularly. The more you practise, the more comfortable you become with the various types of questions related to inverse trigonometric functions. Consistent practice is key to mastering the chapter.
  4. Self-assessment: Use NCERT Solutions for self-assessment. Attempt the exercises independently before referring to the solutions. Compare your answers and identify areas where you need further clarification or improvement.
  5. Review Mistakes: If you make mistakes, review them carefully. Understand the errors and learn from them. This helps in avoiding similar mistakes in future practice and exams.
  6. Explore Additional Resources: Supplement your preparation with additional resources like reference books and online materials. This can provide alternative perspectives and deepen your understanding of the concepts.
  7. Utilise Online Platforms: Take advantage of online platforms that offer interactive learning resources and practice quizzes related to inverse trigonometric functions. These platforms can provide additional exercises to reinforce your knowledge.
  8. Group Study: Consider group study sessions with classmates. Discussing concepts with peers can offer different insights, clarify doubts, and expose you to varied problem-solving approaches.
  9. Create a Revision Plan: Plan your revision systematically. Allocate time for regular revisions to reinforce your learning and ensure that you retain the concepts for a longer duration.
  10. Seek Guidance: If you encounter challenges or have doubts, don't hesitate to seek guidance from your teachers, classmates, or online forums. Clearing doubts promptly is essential for a strong foundation.
  11. Mock Tests: Take mock tests that specifically focus on inverse trigonometric functions. Simulate exam conditions to enhance your time management and problem-solving skills.
  12. Stay Consistent: Consistency is key to success. Set a regular study routine, and stay committed to your preparation plan. Consistent effort over time yields better results.

NCERT Solutions for Class 12 Maths Chapter 2 FAQs

How many exercises are there for inverse trigonometric functions in Class 12?

There are 3 exercises for inverse trigonometric functions in Class 12.

What are the three basic inverse trigonometric functions?

The three basic inverse trigonometric functions are arcsine (sin⁻¹), arccosine (cos⁻¹), and arctangent (tan⁻¹).

Do all trigonometric functions have their inverse?

No, not all trigonometric functions have inverses. Only certain restrictions on the domains make it possible for trigonometric functions to have inverses.

What is the inverse of sin?

The inverse of sin is arcsin, denoted as sin⁻¹ or sin^(-1). It represents the angle whose sine is a given value.

What is the inverse of tan?

The inverse of tan is arctangent, denoted as tan⁻¹ or tan^(-1). It represents the angle whose tangent is a given value.
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