Abstract
This chapter provides an overview on inverse trigonometric functions. To define an inverse trigonometric function, one must insist that for each number in its domain, there corresponds only one number in its range. The domain of the inverse function must be the range of the trigonometric function, and vice versa. The need for such precise definitions of the inverse trigonometric functions is the necessity of avoiding any inconsistency in their applications. To define the inverse trigonometric function, one must restrict the domain of the sine function. This chapter also illustrates the graphs of the four inverse trigonometric functions, namely, arcsin, arctan, arccos, and arccot, with the corresponding graphs of the trigonometric functions sketched in dotted lines. It also illustrates the method of solution of equations of inverse trigonometric functions and general solutions of trigonometric equations with examples.
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