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Solutions ⇒ Class 12th ⇒ Mathematics-I ⇒ 2. Inverse Trigonometric Functions

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

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 2023-2024.

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

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
• Class 12 Ncert Solutions
• Solution Chapter 2. Inverse Trigonometric Functions Class 12
• Solutions Class 12
• Chapter 2. Inverse Trigonometric Functions Miscellaneous Exercise On Chapter - 2 Class 12

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.

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Study Materials List:

Solutions ⇒ Class 12th ⇒ Mathematics-I
1. Relations and Functions
2. Inverse Trigonometric Functions
3. Matrices
4. Determinants
5. Continuity And Differentiability
6. Application of Derivatives

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