Latest NCERT Solutions for Class 12 Maths | Chapter 2: Inverse Trigonometric Functions | Free PDF Download 

NCERT Solutions Class 12 Maths Chapter 2 Inverse Trigonometric Functions:

If you are a Class 12 Maths student, you must have come across Inverse Trigonometric Functions. This chapter is considered as one of the most crucial topics of Mathematics. Therefore, it is important to have a complete understanding of the concept. To help students in their preparation, NCERT Solutions Class 12 Maths Chapter 2 Inverse Trigonometric Functions provides a comprehensive guide that covers all aspects of this topic.

The chapter starts with an introduction to inverse trigonometric functions and their properties. It then goes on to explain the formulas and identities that are used to solve problems related to these functions. The chapter also covers the graph of inverse trigonometric functions, their domain and range, and the concept of principal values.

One of the key topics covered in this chapter is the concept of differentiation of inverse trigonometric functions. The chapter explains the methods used to solve problems related to differentiation, including the chain rule and the product rule.

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Another important topic covered in NCERT Solutions Class 12 Maths Chapter 2 Inverse Trigonometric Functions is the integration of inverse trigonometric functions. The chapter provides step-by-step solutions to problems related to integration, including the substitution method and the use of trigonometric identities.

In this blog, we will discuss the significance of Inverse Trigonometric Functions and how NCERT Solutions Class 12 Maths Chapter 2 Inverse Trigonometric Functions can assist students in their exam preparation.

What are Inverse Trigonometric Functions?

Inverse Trigonometric Functions are mathematical functions that provide the angle from the ratio of the sides of a right-angled triangle. These functions are the inverse of the trigonometric functions that provide the ratio of the sides of a right-angled triangle from the angle. In other words, if we know the value of sine, cosine or tangent of an angle, we can use the inverse trigonometric functions to determine the angle.

The inverse trigonometric functions are denoted by sin^-1, cos^-1, tan^-1, cot^-1, sec^-1, and csc^-1. They are also known as arc functions or anti-trigonometric functions. The range of inverse trigonometric functions is limited to a specific set of values, which depends on the domain of the corresponding trigonometric function.

Inverse Trigonometric Functions have a wide range of applications in mathematics, physics, and engineering. They are used to solve problems related to angles, triangles, and other geometric shapes. They are also used in calculus to solve integration and differentiation problems.

Significance of Inverse Trigonometric Functions

Inverse Trigonometric Functions are not just important for Mathematics but also for other subjects like Physics and Engineering. In Physics, these functions help to calculate the angles and sides of a right-angled triangle, which is essential in solving problems related to motion and forces.

In Engineering, these functions are used in designing buildings, bridges, and other structures. These functions also help in calculating the angles of reflection and refraction, which are crucial in optics.

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How can NCERT Solutions Class 12 Maths Chapter 2 Inverse Trigonometric Functions help students?

NCERT Solutions Class 12 Maths Chapter 2 Inverse Trigonometric Functions provides students with a comprehensive guide that covers all aspects of this topic. The solutions are provided in a step-by-step manner, making it easy for students to understand the concept.

The solutions also include examples and practice problems, which help students to test their knowledge and understanding of the topic. These problems are designed in a way that helps students to improve their problem-solving skills, which is essential for scoring well in the exam.

Additionally, the solutions provided in NCERT Solutions Class 12 Maths Chapter 2 Inverse Trigonometric Functions are written by subject matter experts, ensuring that students get the best guidance and support.

If you are looking for additional study material for NCERT Solutions Class 12 Maths, Oswaal Books can be a great resource. Oswaal Books provides students with a range of study material that covers all topics of Mathematics. The study material is designed in a way that helps students to understand the concept easily.

Conclusion

In conclusion, NCERT Solutions Class 12 Maths Chapter 2 Inverse Trigonometric Functions is a crucial topic that requires proper understanding and practice. The solutions provided in this guide can help students to improve their knowledge and problem-solving skills, which is essential for scoring well in the exam. Additionally, with the help of Oswaal Books, students can get access to additional study material that can assist them in their preparation.