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

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

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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
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Chapter 2 Mathematics-I class 12

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

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- Solutions 2. Inverse Trigonometric Functions - Miscellaneous Exercise On Chapter - 2 | Class 12 Mathematics-I - Toppers Study
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- Chapter 2. Inverse Trigonometric Functions Miscellaneous Exercise On Chapter - 2 Class 12

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## 2. Inverse Trigonometric Functions

### | Miscellaneous Exercise on Chapter - 2 |

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

**Find the value of the following:**

**Ques.1. **

**Ans. **

=

=

=

= i.e., , value of lies in I quadrant.

= =

**Ques.2. **

**Ans. **

=

=

=

= i.e., , value of lies in I quadrant.

= =

**Ques.3. Prove that: **

**Ans. **Let so that

Since

= = =

**Ques.4. Prove that: **

**Ans. **Let so that

Again, Let so that

Since

=

=

**Ques.5. Prove that: **

**Ans. **Let so that

Again, Let so that

Since =

=

**Ques.6. Prove that: **

**Ans. **Let so that

Again, Let so that

Since

=

=

**Ques.7. Prove that: **

**Ans. **Let so that

Again, Let so that

Since

=

=

**Ques.8. Prove that: **

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

=

=

=

=

=

=

R.H.S.

**Ques.9. Prove that: **

**Ans. **Let so that

=

=

=

=

**Ques.10. Prove that: **

**Ans. **We know that =

Again,

=

L.H.S. =

=

=

=

**Ques.11. Prove that: **

**Ans. **Putting so that

L.H.S. =

=

=

=

Dividing every term by

=

=

= =

= = R.H.S.

**Ques.12. Prove that: **

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

=

= …(i)

let so that

From eq. (i), = R.H.S.

**Ques.13. Solve the equation: **

**Ans. **

**Ques.14. Solve the equation: **

**Ans. **Putting

**Ques.15. is equal to:**

**(A) **

**(B) **

**(C) **

**(D) **

**Ans. **Let where so that

Putting

Therefore, option (D) is correct.

**Ques.16. then is equal to:**

**(A) **

**(B) **

**(C) 0**

**(D) **

**Ans. **Putting so that

or

or

But does not satisfy the given equation.

hance, option (C) is correct.

**Ques.17. is equal to:**

**(A) **

**(B) **

**(C) **

**(D) **

**Ans. **

=

=

=

=

=

=

hance, option (C) is correct.

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

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