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NCERT Class 12 Maths Textbook Chapter 2 With Answer PDF Free Download
Chapter 2: Inverse Trigonometric Functions
2.1 Introduction
In Chapter 1, we have studied the inverse of a function f, denoted by f–1, which exists if f is one-one and onto.
There are many functions that are not one-one, onto or both and hence we can not talk of their inverses.
In Class XI, we studied that trigonometric functions are not one-one and onto over their natural domains and ranges, and hence their inverses do not exist.
In this chapter, we shall study the restrictions on domains and ranges of trigonometric functions that ensure the existence of their inverses and observe their behavior through graphical representations.
Besides, some elementary properties will also be discussed. The inverse trigonometric functions play an important role in calculus for they serve to define many integrals.
The concept of inverse trigonometric functions is also used in science and engineering.
| Author | NCERT |
| Language | English |
| No. of Pages | 23 |
| PDF Size | 564 KB |
| Category | Mathematics |
| Source/Credits | ncert.nic.in |
NCERT Solutions Class 12 Maths Chapter 2 Inverse Trigonometric Functions
Question 1:
Find the principal value of 
ANSWER:
Let sin-1 
Then sin y = 
We know that the range of the principal value branch of sin−1 is
and sin
Therefore, the principal value of 
Question 2:
Find the principal value of 
ANSWER:
We know that the range of the principal value branch of cos−1 is
.
Therefore, the principal value of
Question 3:
Find the principal value of cosec−1 (2)
ANSWER:
Let cosec−1 (2) = y. Then, 
We know that the range of the principal value branch of cosec−1 is 
Therefore, the principal value of 
Question 4:
Find the principal value of 
ANSWER:
We know that the range of the principal value branch of tan−1 is 
Therefore, the principal value of 
Question 5:
Find the principal value of 
ANSWER:
We know that the range of the principal value branch of cos−1 is
Therefore, the principal value of 
NCERT Class 12 Maths Textbook Chapter 2 With Answer Book PDF Free Download