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Arctangent, written as arctan or tan-1 (not to be confused with ) is the inverse tangent function. The graph of y = arctan(x) is shown below. The domain of y = arctan(x) is all x values and its range is .
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Arctan can also be written as arctan x or tan-1 x. However, tan-1 x is not equal to (tan x)-1 = 1 / tan x = cot x. The basic formula for arctan is given as θ = arctan(Perpendicular / Base). The derivative of arctan is d/dx(tan-1 x) = 1/(1+x 2). The integral of arctan is ∫tan-1 x dx = x tan-1 x - ½ ln |1+x 2 | + C
Arcus tangens x jest definiowany jako odwrotna funkcja styczna x, gdy x jest rzeczywiste (x ∈ℝ ). Gdy styczna y jest równa x: tan y = x. Wtedy arcus tangens x jest równy odwrotnej funkcji stycznej x, która jest równa y: arctan x = tan -1 x = y.
The inverse tan function is one among them. Here, we will study in detail about the inverse tan function (arctan) along with its properties, graph, domain, and range. Also, we will learn the formulas, derivative, and integral of tan inverse x along with a few solved examples. 1.