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Inverse Trigonometric Functions and Applications

 Topic Review on "Title": 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 .

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 "Title" Tutorial Summary : 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.

 Tutorial Features: 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.

 "Title" Topic List: `The inverse Sine Function Definition of the inverse sine function The domain of the inverse sine function Properties of the inverse sine functionThe inverse cosine function Definition of the inverse cosine function Properties of the inverse cosine functionThe inverse tangent function The definition of the inverse tangent function The domain of the inverse tangent function Properties of the inverse tangent functionThe Remaining inverse trigonometric functions Definition of the remaining inverse trigonometric functions Approximation of inverse trigonometric functions`

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