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# Solutions 2. Inverse Trigonometric Functions - Exercise 2.2 | Class 12 Mathematics-I - Toppers Study

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## Solutions 2. Inverse Trigonometric Functions - Exercise 2.2 | Class 12 Mathematics-I - Toppers Study

CBSE board students who preparing for **class 12 ncert solutions maths and Mathematics-I** solved exercise **chapter 2. Inverse Trigonometric Functions** available and this helps in upcoming exams
2024-2025.

### You can Find Mathematics-I solution Class 12 Chapter 2. Inverse Trigonometric Functions

- All Chapter review quick revision notes for chapter 2. Inverse Trigonometric Functions Class 12
- NCERT Solutions And Textual questions Answers Class 12 Mathematics-I
- Extra NCERT Book questions Answers Class 12 Mathematics-I
- Importatnt key points with additional Assignment and questions bank solved.

Chapter 2 Mathematics-I class 12

### Exercise 2.2 class 12 Mathematics-I Chapter 2. Inverse Trigonometric Functions

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- Solutions 2. Inverse Trigonometric Functions - Exercise 2.2 | Class 12 Mathematics-I - Toppers Study
- Class 12 Ncert Solutions
- Solution Chapter 2. Inverse Trigonometric Functions Class 12
- Solutions Class 12
- Chapter 2. Inverse Trigonometric Functions Exercise 2.2 Class 12

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## 2. Inverse Trigonometric Functions

### | Exercise 2.2 |

## Solutions 2. Inverse Trigonometric Functions - Exercise 2.2 | Class 12 Mathematics-I - Toppers Study

### Exersice 2.2

**Prove the following:**

**Ques.1. **

**Ans. **We know that:

Putting

Putting ,

hance, proved.

**Ques.2. **

**Ans. **We know that {}

Putting

Putting ,

hance. proved.

**Ques.3. **

**Ans. **L.H.S. =

=

=

=

=

= R.H.S.

hance, proved.

**Ques.4. **

**Ans. **L.H.S. = =

=

=

=

=

= R.H.S.

hance, proved.

**Write the following functions in the simplest form:**

**Ques.5. **

**Ans. **Putting so that

=

=

=

=

=

=

=

=

**Ques.6. **

**Ans. **Putting so that

=

=

=

=

=

=

**Ques.7. **

**Ans. **

=

= =

**Ques.8. **

**Ans. **

Dividing the numerator and denominator by

=

=

=

=

**Ques.9. **

**Ans. **Putting so that

=

=

=

=

=

**Ques.10. **

**Ans. **

= [Dividing numerator and denominator by ]

Putting so that

=

=

= =

**Find the values of each of the following:**

**Ques.11. **

**Ans. **

=

=

=

=

= =

**Ques.12. **

**Ans. **=

**Ques.13. **

**Ans. **Putting and

=

=

=

=

= =

**Ques.14. If ****then find the value of **

**Ans. **Given:

**Ques.15. If ****then find the value of **

**Ans. **Given:

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

**Ques.16. **

**Ans. **

=

=

= =

**Ques17. **

**Ans. **

=

=

=

= =

**Ques.18. **

**Ans. **Putting and ;

so that and

Now, =

And and

=

=

=

=

=

**Ques.19. **** is equal to:**

**(A) **

**(B) **

**(C) **

**(D) **

**Ans. **

=

=

hance, option (B) is correct.

**Ques.20. ****is equal to:**

**(A) **

**(B) **

**(C) **

**(D) 1**

**Ans. **

=

=

=

=

hance, option (D) is correct.

**Ques.21. ****is equal to:**

**(A) **

**(B) **

**(C) **

**(D) **

**Ans. **

=

=

=

=

=

=

hance, option (B) is correct.

##### Other Pages of this Chapter: 2. Inverse Trigonometric Functions

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