NCERT Solutions for Class 12 Maths Exercise 2.1 Chapter 2 Inverse Trigonometric Functions – FREE PDF Download
NCERT Class 12 Maths Ch 2 is one of the most important ones in the NCERT syllabus. Duly following NCERT Solutions for Class 12 Maths Chapter 2 ensures you that there will be no hindrance when you opt for more advanced branches of Maths. This is where CoolGyan comes in. Our free Class 12 inverse trigonometry solutions will help you understand the chapter thoroughly.
NCERT Solutions for Class 12 Maths Chapter 2 – Inverse Trigonometric Functions
Find the principal values of the following:
1. 
Since, the principal value branch of 
is 
Therefore, Principal value of is 
2. 
Since, the principal value branch of
is 
Therefore, Principal value of
is 
3.
Since, the principal value branch of
is [−π2,π2]−{0}.[−π2,π2]−{0}.Therefore, Principal value of
is 4.
Since, the principal value branch of 
is 
Therefore, Principal value of 
is 
5.
Since, the principal value branch of is
Therefore, Principal value of 
is 
6.
Since, the principal value branch of is
Therefore, Principal value of 
is 
7.
Since, the principal value branch of 
is
Therefore, Principal value of 
is
8.
coty=cotπ6coty=cotπ6
Since, the principal value branch of 
is
Therefore, Principal value of 
is
9.
Since, the principal value branch of is
Therefore, Principal value of 
is 
10.
Since, the principal value branch of is
Therefore, Principal value of 
is 
Find the value of the following:
11. 
= 
=π4+cos−1(cos(π−π3))+sin−1(sin(−π6))=π4+cos−1(cos(π−π3))+sin−1(sin(−π6))
= 
= 
= 
12.
=
=
=
13. If then:
then:
A) 
(B) 
(C) 
(D)
Therefore, option (B) is correct.
14. is equal to:
(A) 
(B) 
(C) 
(D) 
=
=
=
Therefore, option (B) is correct.