Inverse trigonometric functions are mathematical functions that are used to find the angle measure of a right triangle based on the ratio of its sides. These functions are the inverse of the regular trigonometric functions (sine, cosine, tangent, cotangent, secant, and cosecant), meaning they undo the calculations of the regular functions.
The purpose of inverse trigonometric functions is to help solve problems involving angles in a right triangle. They are commonly used in geometry, physics, engineering, and other branches of mathematics.
To find the inverse of a trigonometric function, you can use the inverse trigonometric identities or the inverse trigonometric tables. You can also use a calculator or a graphing calculator to find the inverse function.
The domain of inverse trigonometric functions is the set of all possible input values (angles) for which the function is defined. The range is the set of all possible output values (ratios) that can be obtained from the function.
Inverse trigonometric functions are used in real life to solve problems involving angles and distances. They are also used in navigation, surveying, and astronomy. In addition, they are used in fields such as engineering, architecture, and physics to calculate forces, angles of elevation and depression, and other important measurements.