nehcrow said:
Inverse trigonometry is the mathematical process of finding the angle measurement that produces a specific ratio of sides in a right triangle. It is the opposite of regular trigonometry, which finds the ratio of sides given an angle measurement.
Inverse trigonometry is used to solve real-world problems involving right triangles, such as finding the height of a building or the distance between two points. It is also used in higher level math and physics to solve complex equations and models.
The basic inverse trigonometric functions are arcsine, arccosine, and arctangent. These functions represent the inverse of sine, cosine, and tangent, respectively. They are often denoted as sin^-1, cos^-1, and tan^-1.
To find the inverse trigonometric value of a number, you can use a scientific calculator or look it up in a table of trigonometric values. Alternatively, you can use the inverse trigonometric function on a graphing calculator to find the angle measure that produces the desired ratio of sides.
The domain of inverse trigonometric functions is the set of real numbers between -1 and 1, inclusive. The range is the set of all possible angle measures, typically in radians but sometimes in degrees depending on the context.