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INVERSE TRIGONOMETRIC FUNCTION Class 12 Ncert Maths

 Question1. Find the principal value of sin-1 (-1/2)

Solution :
 NCERT Solutions class 12 Maths Exercise 2.1

Question2. cos-1(√3/2)

Solution :
 NCERT Solutions class 12 Maths Exercise 2.1

Question3. cosec-1(2)

Solution :
NCERT Solutions class 12 Maths Exercise 2.1

Question4. tan-1(-√3)

Solution :
 NCERT Solutions class 12 Maths Exercise 2.1

Question5. cos-1(-1/2)

Solution :

NCERT Solutions class 12 Maths Inverse Trigonometric Function

Question6. tan-1 (-1)

Solution :

NCERT Solutions class 12 Maths Exercise 2.1

Question7. sec-1(2√3)

Solution :
 

NCERT Solutions class 12 Maths Inverse Trigonometric Function

Question8. cot-1(√3)

Solution :
NCERT Solutions class 12 Maths Exercise 2.1

Question9. cos-1(-1/√2)

Solution :
 NCERT Solutions class 12 Maths Exercise 2.1

Question10. cosec-1(-√2)

Solution :

NCERT Solutions class 12 Maths Inverse Trigonometric Function

Find the value of the following:

Question11.NCERT Solutions class 12 Maths Exercise 2.1

Solution :
NCERT Solutions class 12 Maths Exercise 2.1

Question12.NCERT Solutions class 12 Maths Exercise 2.1

Solution :
NCERT Solutions class 12 Maths Exercise 2.1

Question13.

  NCERT Solutions class 12 Maths Exercise 2.1

Solution :
 NCERT Solutions class 12 Maths Exercise 2.1

Therefore, option (B) is correct.

Question14.  

NCERT Solutions class 12 Maths Exercise 2.1

Solution :
NCERT Solutions class 12 Maths Exercise 2.1

Therefore, option (B) is correct.


NCERT Solutions for Class 12 Maths Exercise 2.2

 

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

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 chapter 2-Inverse Trigonometric Function Exercise 2.1/image103.pngthen 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. Ifchapter 2-Inverse Trigonometric Function Exercise 2.1/image110.pngthen 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. chapter 2-Inverse Trigonometric Function Exercise 2.1/image126.png

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. chapter 2-Inverse Trigonometric Function Exercise 2.1/image153.pngis 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.chapter 2-Inverse Trigonometric Function Exercise 2.1/image162.pngis equal to:

(A) π

(B) -Ï€/2

(C) 0

(D) 2√3

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

Therefore, option (B) is correct.

NCERT Solutions for Class 12 Maths Miscellaneous Exercise

 

Find the value of the following:

Question1. NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions

Solution :
NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions

Question2. NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions

Solution :
NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions

Question3. Prove that: NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions/image016.png

Solution :
 NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions/image018.png

Question4. Prove that:NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions/image028.png

Solution :
 NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions/image030.png

Question5. Prove that:NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions/image041.png

Solution :
 NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions/image043.png

Question6. Prove that:NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions/image052.png

Solution :
 NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions/image054.png

Question7. Prove that:NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions/image060.png

Solution :
NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions/image062.png

Question8. Prove that:NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions/image072.png

Solution :
 NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions/image073.png

Question9. Prove that:NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions/image081.png

Solution :
 NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions/image083.png

Question10. Prove that:NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions/image090.png

Solution :
NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions/image092.png

 

Question 11. Prove that:NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions/image099.png

Solution :

NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions/image101.png

Question12. Prove that:NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions/image112.png

Solution :
NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions/image113.png

Question13. Solve the equation: NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions/image121.png

Solution :
NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions/image121.png

Question14. Solve the equation: NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions/image127.png

Solution :

NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions/image128.png

Question15.

NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions/image139.png

Solution :

chapter 2-Inverse Trigonometric Function Miscellaneous Exercise

Therefore, option (D) is correct.

Question16.

NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions/image151.png

Solution :
NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions/image155.png

NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions

Therefore, option (C) is correct.

Question17.

NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions/image171.png

Solution :
NCERT Solutions for Class 12  Math Chapter 2 - Inverse Trigonometric Functions/image170.png

Therefore, option (C) is correct.

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