What is arctangent?


Quick Answer

Arctangent is the inverse of tangent, and it refers to finding the angle whose tangent is given by a number or ratio. For example, the arctangent of 1 is equal to an angle that measures 45 degrees. This is the inverse of finding the tangent of 45 degrees, which equals 1.

Continue Reading

Full Answer

In trigonometry, tangent (tan) and arctangent (arctan) are functions associated with a right triangle. The tangent of an angle can be found by using the formula opposite side (O) of angle C divided by the adjacent side (A), or the ratio O/A. Therefore, tan(C) = O/A and angle C = arc tan (O/A).

An example of finding the arctan is the problem tan(C) = 3/4 or 0.75. Angle A equals the arctan(.75), and angle C equals 36.87 degrees. For inverse functions, the range is between -90 degrees and +90 degrees, while the domain is all real numbers.

Learn more about Math Calculators

Related Questions