Class 12 Maths Revision Notes for Inverse Trigonometric Functions of Chapter 2

CBSE Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions

• The domains and ranges (principal value branches) of inverse trigonometric functions are given in the following table:

Functions	Domain	Range (Principal Value Branches)
	[-1, 1]
	[-1, 1]
	R- [-1, 1]	– {0}
	R-[-1, 1]
	R
	R

•  should not be confused with . In fact  And similarly for other trigonometric functions.
• The value of an inverse trigonometric functions which lies in its principal value branch is called the principal value of that inverse trigonometric functions.
• For suitable values of domain, we have

• 
• 
• 
• 
• 
• 
• 
• 
• 
<
<
• 
<
• 
• 
• 
• 
• 
• 
<
• 
• 
< = <
<
<
• < = <
<
<
<
Conversion:

• <=< = <
• <=< = <
• <=< = <
• <=<= <
• <=< = <
• <=<=<

Some other properties of Inverse Trigonometric Function:

• <
• <
• <
• <