12.6 degree approximately
ArcTan is another name for ;Inverse Tan' or 'Tan^*-1) Hence ArcTan(0.55431) = 29.00004157 degrees. Effectively 29 degrees.
= tan ^ -1 (0.55431) = approximately 29 degrees
You can use the arctangent or the reverse tangent to solve for x, which is denoted by arctan or tan^-1. If tan [x] = 3, then arctan [3] = x. This applies to all trigonometric functions (ex. if sin [x] = 94, then arcsin [94] = x. Punch that into your calculator and the answer will be: arctan [3.0] = 71.565 (degrees) arctan [3.0] = 1.249 (radians)
Arctan (49.22) = 88.83608° or 1.55048 radians.
There is no difference in meaning between the two. It is usually spelled in lowercase, though (arc tan, or arctan).
Arctan is a term used in advanced mathematics. To be more specific, in geometry. The short answer is that it is used to find the angle "x", when "tan (x)" is known.
Slope = Rise/Run = y/x 1. leg = rise = y 2. leg = run = x 3. hypotenuse = √(x^2 + y^2) tan (angle 1) = x/y angle 1 = arctan(x/y) tan (angle 2) = y/x angle 2 = arctan(y/x)
d/dx(arctan x) = X = 1/(1 + x2)
In mathematics, "tan" refers to the tangent function, which calculates the ratio of the opposite side to the adjacent side in a right triangle for a given angle. On the other hand, "tan⁻¹" (or arctan) is the inverse tangent function, which takes a ratio and returns the angle whose tangent is that ratio. Essentially, while tan gives you the tangent of an angle, tan⁻¹ helps you find the angle when you know the tangent value.
On any scientific calculator, calculate the arctan (inverse tan, tan-1) of (2 / 4.5). Make sure the calculator is using the correct type of angular measure (degrees or radians, depending on what you want).
If tan x = 0.3 then arctan x = 16.70° (2dp)
50% grade = slope of 1/2 = (one half unit of rise)/(one unit of run) = arctan(0.5) = 26.565 degrees Check validity with tangent function: tan(26.565 degrees)=0.5 tan() function always gives you the slope, if you put in degrees. Arctan does the inverse.