The following examples illustrate the inverse trigonometric functions: Be aware that sin − 1 x sin − 1 x does not mean 1 sin x. In other words, the domain of the inverse function is the range of the original function, and vice versa, as summarized in Figure 1.įor example, if f ( x ) = sin x, f ( x ) = sin x, then we would write f − 1 ( x ) = sin − 1 x. In order to use inverse trigonometric functions, we need to understand that an inverse trigonometric function “undoes” what the original trigonometric function “does,” as is the case with any other function and its inverse. Understanding and Using the Inverse Sine, Cosine, and Tangent Functions In this section, we will explore the inverse trigonometric functions. This is where the notion of an inverse to a trigonometric function comes into play. But what if we are given only two sides of a right triangle? We need a procedure that leads us from a ratio of sides to an angle.

Find exact values of composite functions with inverse trigonometric functions.įor any right triangle, given one other angle and the length of one side, we can figure out what the other angles and sides are.Use a calculator to evaluate inverse trigonometric functions.Find the exact value of expressions involving the inverse sine, cosine, and tangent functions.Understand and use the inverse sine, cosine, and tangent functions.

Inverse sine with console calculator