# CLASS 12 MATHS CHAPTER 2-INVERSE TRIGONOMETRIC FUNCTION

### Find the principal values of the following:

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.

### Prove the following:

Question1.

Solution :

Proved.

Question2.

Solution :

Proved.

Question3.

Solution :

Proved.

Question4.

Solution :

Proved.

Write the following functions in the simplest form:

Question5.

Solution :

Question6.

Solution :

Question7.

Solution :

Question8.

Solution :

Question9.

Solution :

Question10.

Solution :

Find the values of each of the following:

Question11.

Solution :

Question12.

Solution :

Question13.

Solution :

Question14. If then find the value of x

Solution :

Question15. Ifthen find the value of x

Solution :

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

Question16.

Solution :

Question17.

Solution :

Question18.

Solution :

Question19.

Solution :

Question20. is equal to:

(A) 1/2

(B) 1/3

(C) 1/4

(D) 1

Solution :

Therefore, option (D) is correct.

Question21.is equal to:

(A) π

(B) -π/2

(C) 0

(D) 2√3

Solution :

Therefore, option (B) is correct.

### Find the value of the following:

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 :

Question9. Prove that:

Solution :

Question10. Prove that:

Solution :

Question 11. Prove that:

Solution :

Question12. Prove that:

Solution :

Question13. Solve the equation:

Solution :

Question14. Solve the equation:

Solution :

Question15.

Solution :

Therefore, option (D) is correct.

Question16.

Solution :

Therefore, option (C) is correct.

Question17.

Solution :

Therefore, option (C) is correct.

Get 30% off your first purchase!

X
error: Content is protected !!
Scroll to Top