NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions

Stuck in between the concepts of NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions or the mathematicals equations doodling over your head? Don’t panic. We have got you a free pdf of the detailed answers of all the exercises from the chapter. We will be providing you answers with step-by-step explanations, so you don’t have to look anywhere else. You will be benefitted enough as these solutions will help you crack many upcoming entrance exams as well.

NCERT Solution for class 12 Inverse Trigonometric Functions pdf is tailored according to students’ requirement incorporating the latest module of 2023-24. The chapter has a significant role for solving difficult questions from calculus, therefore, you need to be fluent.The explanations are full at length and explained in a simple manner, so each student can enjoy its benefits. The dynamic perks from Inverse Trigonometric Functions are plenty, from entrance exams to science and engineering, having a good command must be your priority.

Overview of the exercises of Chapter 2: Inverse Trigonometric Functions. 

Before proceeding to the NCERT Solution for class 12- Inverse Trigonometric Functions, take a glance at the overall summary of the exercises in the chapter to understand the importance of concepts explained.

Exercise 2.1: In the first exercise, students are introduced with the concept of inverse trigonometric functions. They are taught about the domain, range, and principal values of inverse trigonometric functions. Students are asked to find the inverse trigonometric functions of various values and solve equations involving the same.

Exercise 2.2: The final exercise deals with the properties of inverse trigonometric functions. Students are comprehended with the the properties of sine, cosine, tangent, cotangent, secant, and cosecant functions, through the questions the following in the exercise. Regular practice will ensure that they form the basics really strong.

NCERT Solutions Class 12 Maths Inverse Trigonometric Functions Chapter 2 Exercise 2.1

Question1. Find the principal value of sin-1 (-1/2)

Solution :

Question2. cos-1(√3/2)

Solution :

Question 3. cosec-1(2)

Solution :

Question4. tan-1(-√3)

Solution :

Question5. cos-1(-1/2)

Solution :

Question6. tan-1 (-1)

Solution :

Question7. sec-1(2√3)

Solution :

Question8. cot-1(√3)

Solution :

Question9. cos-1(-1/√2)

Solution :

Question10. cosec-1(-√2)

Solution :

Find the value of the following:

Question11.

Solution :

Question12.

Solution :

Question13.

 

Solution :

Therefore, option (B) is correct.

Question14.

Solution :

Therefore, option (B) is correct.

NCERT Solutions Class 12 Inverse Trigonometric Functions Chapter 2 Exercise 2.2

Question1.

Solution :

Proved.

Question2.

Solution :

Proved.

Question3.

Solution :

Proved.

Question4.

Solution :

Proved.

Write the following functions in the simplest form:

Question5.

Solution :

Question6.

Solution :

Question7.

Solution :

Question8.

Solution :

Question9.

Solution :

Question10.

Solution :

Find the values of each of the following:

Question11.

Solution :

Question12.

Solution :

Question13.

Solution :

Question14. If then find the value of x

Solution :

Question15. Ifthen find the value of x

Solution :

Find the values of each of the expressions in Exercises 16 to 18.

Question16.

Solution :

Question17.

Solution :

Question18.

Solution :

Question19.

Solution :

Question20. is equal to:

(A) 1/2

(B) 1/3

(C) 1/4

(D) 1

Solution :

Therefore, option (D) is correct.

Question21.is equal to:

(A) π

(B) -π/2

(C) 0

(D) 2√3

Solution :

Therefore, option (B) is correct.