)).Inverse trig functions are mathematical functions that are used to find the angle measure of a triangle when the lengths of its sides are known. They are the inverse operations of the basic trigonometric functions (sine, cosine, tangent, cotangent, secant, and cosecant).
A trig function takes an angle as its input and outputs a ratio of the sides of a right triangle, while its inverse takes a ratio as its input and outputs the angle measure of the triangle.
Inverse trig functions are typically denoted with the prefix "arc" or "a" followed by the name of the corresponding trig function (e.g. arcsin, arccos, arctan).
The range of values for inverse trig functions is restricted to a specific interval depending on the function. For example, the range of values for arcsin and arccos is between -π/2 and π/2, while the range for arctan is between -π/2 and π/2.
Inverse trig functions are commonly used in fields such as physics, engineering, and navigation to solve problems involving angles and triangles. For example, they can be used to calculate the altitude of an airplane or the angle of elevation of a building.