CLASS 12 MATHS CHAPTER 2-INVERSE TRIGONOMETRIC FUNCTION

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Exercise 2.1

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 :

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 :

Question9. cos^-1(-1/√2)

Solution :

Question10. cosec^-1(-√2)

Solution :

NCERT Solutions class 12 Maths Inverse Trigonometric Function

Find the value of the following:

Question11.

Solution :

Question12.

Solution :

Question13.

NCERT Solutions class 12 Maths Exercise 2.1

Solution :

Therefore, option (B) is correct.

Question14.

NCERT Solutions class 12 Maths Exercise 2.1

Solution :

Therefore, option (B) is correct.

Exercise 2.2

Prove the following:

Question1.

Solution :

chapter 2-Inverse Trigonometric Function Exercise 2.1

Proved.

Question2.

Solution :

Proved.

Question3.

Solution :

Proved.

Question4.

Solution :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image027.png

Proved.

Write the following functions in the simplest form:

Question5.

Solution :

Question6.

Solution :

chapter 2-Inverse Trigonometric Function Exercise 2.1/image044.png

Question7.

Solution :

Question8.

Solution :

Question9.

Solution :

NCERT Solutions class 12 Maths Inverse Trigonometric Function

Question10.

Solution :

Find the values of each of the following:

Question11.

Solution :

Question12.

Solution :

Question13.

Solution :

NCERT Solutions class 12 Maths Inverse Trigonometric Function

Question14. If then find the value of x

Solution :

NCERT Solutions class 12 Maths Inverse Trigonometric Function

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 :

NCERT Solutions class 12 Maths Inverse Trigonometric Function

Question19.

chapter 2-Inverse Trigonometric Function Exercise 2.1/image146.png

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.

Miscellaneous Exercise

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 :

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

Question12. Prove that:

Solution :

Question13. Solve the equation:

Solution :

Question14. Solve the equation:

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

Therefore, option (C) is correct.

Question17.

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

Solution :

Therefore, option (C) is correct.

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