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NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions
NCERT solutions for class 12 maths chapter 2 inverse trigonometric functions are the perfect amalgamation of two topics. The first one being inverse functions and the second one being trigonometry. This chapter discusses the restrictions on domains and ranges of trigonometric functions which ensure the existence of their inverses and observes their behavior through graphical representations. Kids need to be well-versed with chapter 1 in order to understand the underlying principles behind the theories and properties in the lesson. This implies that they must know how to invert a function and solve problems based on the same. NCERT solutions class 12 maths chapter 2 play an important role in calculus for they serve to define many integrals. These concepts of inverse trigonometric functions are also used in science and engineering.
Class 12 maths NCERT solutions chapter 2 is an amazing resource that is used to give kids a good understanding of inverse trigonometry as well as the graphs of such functions. When studying this chapter students should try to link an inverse trigonometric ratio to a normal trigonometric ratio so as to get a good grasp of the concepts and identify hidden patterns. As they can relate a tough topic to an easier and more familiar concept children can breeze through the subject matter without getting flustered. NCERT solutions chapter 2 inverse trigonometric functions have many formulas, theories, graphical representations, and vital concepts that will be used in further chapters. This article will give a detailed explanation of all the necessary subtopics that will prepare a child for his board exams and also download the exercises provided in the links below.
- NCERT Solutions Class 12 Maths Chapter 2 Ex 2.1
- NCERT Solutions Class 12 Maths Chapter 2 Ex 2.2
- NCERT Solutions Class 12 Maths Chapter 2 Miscellaneous Ex
NCERT Solutions for Class 12 Maths Chapter 2 PDF
The ancient Indian Mathematicians, Aryabhata (476A.D.), Brahmagupta (598 A.D.), Bhaskara I (600 A.D.), and Bhaskara II (1114 A.D.) got important results of trigonometry. As times moved forward so did the research in this subject to give us trigonometry as we know it today. The NCERT solutions class 12 maths intelligently places such facts and study tips throughout the lesson so that kids not only develop a strong mathematical foundation but also have fun while learning. To know more about such points the PDF files of all the solutions to the NCERT questions are linked below:
☛ Download Class 12 Maths NCERT Solutions Chapter 2
NCERT Class 12 Maths Chapter 2
NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions
This lesson is laced with several formulas and calls for the use of many concepts from sister topics. As it can prove to be confusing at times students must periodically revise the NCERT Solutions Class 12 Maths Chapter 2 inverse trigonometric functions. They should make notes and simplify problems wherever possible. They should also try to link the new topics with old ones. This will help them build crystal clear concepts so that they do not get confused during their exams. Given below is a detailed analysis of all the exercise-wise solutions.
- Class 12 Maths Chapter Chapter 2 Ex 2.1 - 14 Questions
- Class 12 Maths Chapter Chapter 2 Ex 2.2 - 21 Questions
- Class 12 Maths Chapter Chapter 2 Miscellaneous Ex - 17 Questions
Topics Covered: Identifying the range, domain, and finding the value of inverse trigonometric functions at a particular point, simplifying trigonometric expressions using the properties of inverse trigonometry as well as application of formulas are very important topics under class 12 maths NCERT solutions chapter 2.
Total Questions: Class 12 maths chapter 2 Inverse Trigonometric Functions has a total of 52 exemplar questions. 20 are easy to see the use of formulas, 18 are intermediate and 14 are difficult high-level problems.
List of Formulas in NCERT Solutions Class 12 Maths Chapter 2
NCERT solutions class 12 maths chapter 2 requires students to use their critical thinking skills while applying the wide range of formulas available. It is advisable for them to go through the trigonometry formulas outlined in the previous classes as this will make it easier to transition into the overall topic. In addition to the formulas, students also have to focus on the graphical approach to solving range and domain problems. This entails them to have a deep understanding of how to find the domain and range of inverse trigonometric functions given different conditions. The prerequisite for attempting this chapter is having the knowledge of basic trigonometry and the associated formulas. Some of the formulas used in the NCERT solutions for class 12 maths chapter 2 are given below:
- sin–1 (–x) = – sin–1 x
- tan–1 x + cot–1 x = π/2
- sin–1 x + cos–1 x = π/2
- cos–1 (–x) = π – cos–1 x
- cot–1 (–x) = π – cot–1 x
FAQs on NCERT Solutions Class 12 Maths Chapter 2
Why are NCERT Solutions Class 12 Maths Chapter 2 Important?
NCERT Solutions Class 12 Maths Chapter 2 has been given by mathematical experts who have found the fastest and easiest method to solve all NCERT textbook problems. Each step has been written with an appropriate explanation so that children do not get confused. Thus, these solutions are very important because they act as cross-reference material and show kids how to clearly present their answers in an examination.
Do I Need to Practice all Questions Provided in NCERT Solutions Class 12 Maths Inverse Trigonometric Functions?
Board examinations are very tricky. The problems that appear on these exams cover a very wide scope. In order to score excellent marks students need to periodically revise all the sums in NCERT Solutions Class 12 Maths Inverse Trigonometric Functions. The paper pattern follows the questions in the NCERT textbooks and hence, to get a 360 view of what can appear on a test paper children should not skip any section or the associated sums.
What are the Important Topics Covered in NCERT Solutions Class 12 Maths Chapter 2?
Finding the range and domain of inverse trigonometric functions along with their graphs, as well as application of trigonometric formulas and their properties to solve questions are the important topics covered in the NCERT Solutions Class 12 Maths Chapter 2. In addition to this, if students find that they are weak in certain areas of trigonometry that have been covered in previous classes they should work to strengthen these pain points. This will help them study inverse trigonometry successfully.
How Many Questions are there in Class 12 Maths NCERT Solutions Chapter 2 Inverse Trigonometric Functions?
There are a total of 52 questions in the NCERT Solutions Class 12 Maths Chapter 2 Inverse Trigonometric Functions. They have been spread over 3 exercises including a miscellaneous one. The problems are given in different formats with varying levels of difficulty to give students an idea of the kind of questions that can be framed on the given topics. Kids should devote a good amount of time to practicing these sums.
What are the Important Formulas in NCERT Solutions Class 12 Maths Chapter 2?
There are many formulas in the NCERT Solutions Class 12 Maths Chapter 2 that are extremely important. Most of the questions are based on the formulas for properties of inverse trigonometric functions while the others require students to use their critical thinking abilities. Apart from this, kids also need to have a good grasp on how to find the range and domain of different inverse trigonometry functions given different constraints.
How CBSE Students can utilize NCERT Solutions Class 12 Maths Chapter 2 effectively?
Before attempting the NCERT Solutions Class 12 Maths Chapter 2 children need to recall all the important formulas and concepts of trigonometry that they learned in previous classes. The next step is to have ironclad concepts of inverse functions from chapter 1. Finally, students can understand and memorize all the formulas outlined in this chapter and start solving questions on the same while checking their answers to effectively utilize the given solutions.