Exercise 2.1, Page: 26

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

Solution

Question2. cos^-1(√3/2)

Solution

Question3. cosec^-1(2)

Solution

Question4. tan^-1(-√3)

Solution

Question5. cos^-1(-1/2)

Solution :

Question6. tan^-1 (-1)

Solution :

Question7. sec^-1(2√3)

Solution :

Question8. cot^-1(√3)

Solution

Question9. cos^-1(-1/√2)

Solution

Question10. cosec^-1(-√2)

Solution :

Find the value of the following:

Question11.

Solution

Question12.

Solution

Question13.

  

Solution

Therefore, option (B) is correct.

Question14.  

Solution

Therefore, option (B) is correct.

Exercise 2.2 Page: 29

Question1.

Solution :

Proved.

Question2.

Solution :]

\\\

Proved.

Question3.

Solution

Proved.

Question4.

Solution :

Write the following functions in the simplest form:

Question3.

Solution :

 

Question4.

Solution

Question5

Solution

Question6.

Solution :

Question7.

Solution

Find the values of each of the following:

Question8.

Solution

Question9.

Solution :

 

 

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

Question10. 

Solution

Question11. 

Solution

Question12.

Solution :

Question13.

Solution

Question14. is equal to:

(A) 1/2

(B) 1/3

(C) 1/4

(D) 1

Solution

Therefore, option (D) is correct.

Question15.is equal to:

(A) π

(B) -π/2

(C) 0

(D) 2√3

Solution

Therefore, option (B) is correct.

Exercise 2.3, Page: 31

Find the value of the following of NCERT Solutions for Class 12 Maths Chapter 2 Miscellaneous Exercise (Inverse Trigonometric Function)

Question1. 

Solution

Question2. 

Solution

Question3. Prove that: 

Solution :

Question4. Prove that:

Solution

Question5. Prove that:

Solution

Question6. Prove that:

Solution

Question7. Prove that:

Solution

Question8. Prove that:

Solution

Prove that 9:

Solution

 

 

Question 10.Provethat: 

Question12. Prove that:

Solution

Question13. Solve the equation: 

Solution

Question13.

Solution :

Therefore, option (D) is correct.

Question14.

Solution

Therefore, option (C) is correct.