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

NCERT Solutions for Class 12 Maths Chapter 2: Inverse Trigonometric Functions provide knowledge about adapting newer models of inverse trigonometric functions that are a must for calculus. The inverse trigonometric functions are defined with great care so as to help students understand what the definitions, domains, ranges, and graphs of these functions are. These are fundamentals that provide a base for solving any type of calculus problem and are, therefore, a crucial section of the Class 12 syllabus. Most importantly, the Class 12 Maths Chapter 2 PDF solutions give the method of doing a particular problem step by step so that students could understand the complete process of the problems.

Download PDF For NCERT Solutions for Maths Inverse Trigonometric Functions

The NCERT Solutions for Class 12 Maths Chapter 2: Inverse Trigonometric Functions are tailored to help the students master the concepts that are key to success in their classrooms. The solutions given in the PDF are developed by experts and correlate with the CBSE syllabus of 2023-2024. These solutions provide thorough explanations with a step-by-step approach to solving problems. Students can easily get a hold of the subject and learn the basics with a deeper understanding. Additionally, they can practice better, be confident, and perform well in their examinations with the support of this PDF.

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Access Answers to NCERT Solutions for Class 12 Maths Chapter 2: Inverse Trigonometric Functions

Students can access the NCERT Solutions for Class 12 Maths Chapter 2: Inverse Trigonometric Functions. Curated by experts according to the CBSE syllabus for 2023–2024, these step-by-step solutions make Maths much easier to understand and learn for the students. These solutions can be used in practice by students to attain skills in solving problems, reinforce important learning objectives, and be well-prepared for tests.

Exercise 2.1

Question 1 :

tan-1 (-1)

 

Answer :

NCERT Solutions class 12 Maths Exercise 2.1


Question 2 :

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

 

Answer :


NCERT Solutions class 12 Maths Exercise 2.1

 


Question 3 :

cos-1(√3/2)

 

Answer :

NCERT Solutions class 12 Maths Exercise 2.1


Question 4 :

cosec-1(2)

Answer :

NCERT Solutions class 12 Maths Exercise 2.1


Question 5 :

tan-1(-√3)

Answer :

NCERT Solutions class 12 Maths Exercise 2.1


Question 6 :

cos-1(-1/2)

 

Answer :

NCERT Solutions class 12 Maths Inverse Trigonometric Function

 


Question 7 :

sec-1(2√3)

 

Answer :

NCERT Solutions class 12 Maths Inverse Trigonometric Function


Question 8 :

cot-1(√3)

 

Answer :

NCERT Solutions class 12 Maths Exercise 2.1


Question 9 :

cos-1(-1/√2)

 

Answer :

NCERT Solutions class 12 Maths Exercise 2.1


Question 10 :

cosec-1(-√2)

 

Answer :

NCERT Solutions class 12 Maths Inverse Trigonometric Function


Question 11 :

NCERT Solutions class 12 Maths Exercise 2.1

Answer :

NCERT Solutions class 12 Maths Exercise 2.1


Question 12 :

NCERT Solutions class 12 Maths Exercise 2.1

Answer :

NCERT Solutions class 12 Maths Exercise 2.1


Question 13 :

NCERT Solutions class 12 Maths Exercise 2.1

Answer :

NCERT Solutions class 12 Maths Exercise 2.1

Therefore, option (B) is correct.

 


Question 14 :

NCERT Solutions class 12 Maths Exercise 2.1

Answer :

NCERT Solutions class 12 Maths Exercise 2.1

Therefore, option (B) is correct.

 


Exercise 2.2

Question 1 :

 Ifchapter 2-Inverse Trigonometric Function Exercise 2.1/image110.pngthen find the value of x

 

Answer :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image111.png

 


Question 2 :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image001.png

Answer :

chapter 2-Inverse Trigonometric Function Exercise 2.1

Proved.


Question 3 :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image010.png

Answer :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image011.png

Proved.

 


Question 4 :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image017.png

Answer :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image018.png

Proved.


Question 5 :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image024.png

Answer :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image027.png

Proved.

 


Question 6 :

Write the following functions in the simplest form:

chapter 2-Inverse Trigonometric Function Exercise 2.1/image032.png

Answer :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image036.png


Question 7 :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image043.png

Answer :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image044.png


Question 8 :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image053.png

Answer :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image054.png


Question 9 :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image058.png

Answer :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image059.png


Question 10 :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image065.png

Answer :

NCERT Solutions class 12 Maths Inverse Trigonometric Function


Question 11 :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image073.png

Answer :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image074.png


Question 12 :

Find the values of each of the following:

chapter 2-Inverse Trigonometric Function Exercise 2.1/image083.png

Answer :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image083.png


Question 13 :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image090.png

Answer :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image090.png


Question 14 :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image093.png

Answer :

NCERT Solutions class 12 Maths Inverse Trigonometric Function


Question 15 :

 If chapter 2-Inverse Trigonometric Function Exercise 2.1/image103.pngthen find the value of x

 

Answer :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image104.png

NCERT Solutions class 12 Maths Inverse Trigonometric Function


Question 16 :

Find the values of each of the expressions 

chapter 2-Inverse Trigonometric Function Exercise 2.1/image121.png

 

Answer :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image121.png


Question 17 :

Find the values of each of the expressions

chapter 2-Inverse Trigonometric Function Exercise 2.1/image126.png

Answer :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image126.png


Question 18 :

Find the values of each of the expressions

chapter 2-Inverse Trigonometric Function Exercise 2.1/image132.png

Answer :

NCERT Solutions class 12 Maths Inverse Trigonometric Function


Question 19 :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image146.png

Answer :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image146.png


Question 20 :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image153.pngis equal to:

(A) 1/2

(B) 1/3

(C) 1/4

(D) 1

 

Answer :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image157.png

Therefore, option (D) is correct.

 


Question 21 :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image162.pngis equal to:

(A) π

(B) -π/2

(C) 0

(D) 2√3

 

Answer :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image162.png

Therefore, option (B) is correct.

 


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