Class 12 Maths Inverse Trigonometric Function Exercise 2.2

NCERT SOLUTIONS FOR CLASS 12 MATHS CHAPTER 2-INVERSE TRIGONOMETRIC FUNCTION EXERCISE 2.2

NCERT solutions for class 12 maths Chapter 2 Inverse Trigonometric Function is prepared by the academic team of Nashad. We have prepared by NCERT Solutions for all exercises of chapter 2. Given below is a step-by-step solution to all questions given in the NCERT textbook for Chapter 2 Inverse Trigonometric Function.


Prove the following:


Question1.chapter 2-Inverse Trigonometric Function Exercise 2.1/image001.png

Solution :

chapter 2-Inverse Trigonometric Function Exercise 2.1

Proved.

Question2.chapter 2-Inverse Trigonometric Function Exercise 2.1/image010.png

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

Proved.

Question3.chapter 2-Inverse Trigonometric Function Exercise 2.1/image017.png

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

Proved.

Question4.chapter 2-Inverse Trigonometric Function Exercise 2.1/image024.png

Solution :

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

Proved.

Write the following functions in the simplest form:

Question5.

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

Question6. chapter 2-Inverse Trigonometric Function Exercise 2.1/image043.png

Solution :

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

Question7.chapter 2-Inverse Trigonometric Function Exercise 2.1/image053.png

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

Question8.chapter 2-Inverse Trigonometric Function Exercise 2.1/image058.png

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

Question9.chapter 2-Inverse Trigonometric Function Exercise 2.1/image065.png

Solution :

NCERT Solutions class 12 Maths Inverse Trigonometric Function

Question10.chapter 2-Inverse Trigonometric Function Exercise 2.1/image073.png

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

Find the values of each of the following:

Question11.chapter 2-Inverse Trigonometric Function Exercise 2.1/image083.png

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

Question12.chapter 2-Inverse Trigonometric Function Exercise 2.1/image090.png

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

Question13.chapter 2-Inverse Trigonometric Function Exercise 2.1/image093.png

Solution :

NCERT Solutions class 12 Maths Inverse Trigonometric Function

Question14. If then find the value of x

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

NCERT Solutions class 12 Maths Inverse Trigonometric Function

Question15. If then find the value of x

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

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

Question16. chapter 2-Inverse Trigonometric Function Exercise 2.1/image121.png

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

Question17. 

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

Question18.chapter 2-Inverse Trigonometric Function Exercise 2.1/image132.png

Solution :

NCERT Solutions class 12 Maths Inverse Trigonometric Function

Question19.

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

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

Question20. is equal to:

(A) 1/2

(B) 1/3

(C) 1/4

(D) 1

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

Therefore, option (D) is correct.

Question21.is equal to:

(A) π

(B) -π/2

(C) 0

(D) 2√3

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

Therefore, option (B) is correct.

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