Definition and the domain of the inverse sine function :

• An equation for the inverse of is obtained by interchanging x and y. The inverse sine of x is  which means where and ..

Definition and the domain of the inverse cosine function:
The inverse cosine function of is where

Definition and the domain of the inverse tangent function:
The inverse tangent function of is or where
and .

Definition and the domain of the remaining inverse trigonometric functions:
1) means  where and , .
2)  means where and , .
3) means where and .

This tutorial discusses the inverse trigonometric functions and their applications. The properties of the inverse trigonometric functions are shown in examples. Comparison of the domain and range of the trigonometric and inverse trigonometric functions are introduced with graphical illustrations.

The use of right angle trigonometry with inverse trigonometric functions is shown in some examples. Approximating inverse trigonometric functions is mentioned to assist in their understanding. Inverse trigonometric functions such as the inverse cosecant and secant functions exhibit the importance of the definition of an inverse function.

Specific Tutorial Features:

• Graphical illustrations of the inverse trigonometric functions.
• Properties of the inverse trigonometric functions are shown with the aid of examples.

Series Features:

• Concept map showing inter-connections of new concepts in this tutorial and those previously introduced.
• Definition slides introduce terms as they are needed.
• Visual representation of concepts
• Animated examples—worked out step by step
• A concise summary is given at the conclusion of the tutorial.

The inverse Sine Function
	Definition of the inverse sine function
	The domain of the inverse sine function
           Properties of the inverse sine function
The inverse cosine function
           Definition of the inverse cosine function
           Properties of the inverse cosine function
The inverse tangent function
           The definition of the inverse tangent function
           The domain of the inverse tangent function
	        Properties of the inverse tangent function
The Remaining inverse trigonometric functions
           Definition of the remaining inverse trigonometric functions
	Approximation of inverse trigonometric functions