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NCERT Solutions for CBSE Class 12 Mathematics ‒ Chapter 2: Inverse Trigonometric Functions (Part VI)

Class 12 Maths NCERT Solutions, Chapter 2: Inverse Trigonometric Functions are available here. Here, you will find solutions for exercise number 2.2 from question number 16 to question number 21. These solutions are important for CBSE Class 12 Maths board exam and other engineering entrance exams.

Jul 5, 2017 14:00 IST
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NCERT Solutions for CBSE Class 12 Mathematics ‒ Chapter 2: Inverse Trigonometric Functions (Part VI)

NCERT Solutions for CBSE Class 12th Mathematics, Chapter 2: Inverse Trigonometric Functions are available here. Here, you will get solutions of exercise 2.2 (from question number 16 to question number 21). These questions are based on basic properties of inverse trigonometric functions. These questions are also important for CBSE Class 12 board exam 2018.

NCERT Solutions for CBSE Class 12th Maths, Chapter 2: Inverse Trigonometric Functions (Exercise 2.2) are given below

Question 16: sin‒1 (sin 2π/3)

Solution 16:

sin‒1 (sin 2π/3)

= sin‒1 [(sin π - 2π/3)]

= sin‒1 [sin (π/3)]

= π/3

CBSE Class 12 Maths Syllabus 2017 - 2018

Question 17: tan‒1 (tan 3π/4)

Solution 17:

tan‒1 (tan 3π/4)

= tan‒1 [‒ tan (‒3π/4)]

= tan‒1 [‒ tan (π ‒ π/4)]

= tan‒1 [‒ tan (π/4)]

= tan‒1 [ tan (‒π/4)]

= ‒π/4.

Question 18: tan [sin‒1 (3/5) + cot‒1 (3/2) ]

Solution 18:

NCERT Solutions for CBSE Class 12 Mathematics ‒ Chapter 2: Inverse Trigonometric Functions (Exercise 2.2, Solution: 18)

Question 19: cos‒1 [cos (7π/6)] is equal to

(A) 7π/6

(B) 5π/6

(C) π/3

(D) π/6

Solution 19:

NCERT Solutions for CBSE Class 12 Mathematics ‒ Chapter 2: Inverse Trigonometric Functions (Exercise 2.2, Solution: 19)

Question 20: sin [(π/3) ‒ sin‒1 (‒1/2)] is equal to

(A) 1/2

(B) 1/3

(C) 1/4

(D) 1

Solution 20:

NCERT Solutions for CBSE Class 12 Mathematics ‒ Chapter 2: Inverse Trigonometric Functions (Exercise 2.2, Solution: 20)

Question 21: tan‒1 √3 ‒ cot‒1 (‒√3) is equal to

(A) π

(B) ‒ π/2

(C) 0

(D) 2√3

Solution 21:

NCERT Solutions for CBSE Class 12 Mathematics ‒ Chapter 2: Inverse Trigonometric Functions (Exercise 2.2, Solution: 21)

Download NCERT Solutions for Class 12 Mathematics, Chapter 2 - Inverse Trigonometric Functions in PDF Format

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