Need to find an angle from a cotangent value? Our Arccot Calculator (cot⁻¹) makes it easy! Just enter the adjacent/opposite ratio and get the angle instantly in degrees or radians. Ideal for students, engineers, and math enthusiasts.
The arccotangent (arccot) function calculates the angle whose cotangent equals a given number. Unlike arctan, which takes the opposite/adjacent ratio, arccot uses the adjacent/opposite ratio. It's mathematically related to arctan through:
arccot(x)
π
2
-arctan(x)(for positive x)
Properties: Input: Any real number (-∞ to ∞) Output Range: (0, π) radians or (0°, 180°) Behavior: Decreasing function (as x increases, arccot(x) decreases)
Arccot function calculation formula.
θ=cot -1 (
Adjacent Side
Opposite Side
)
Arccot function calculation Example.
Example Calculation Given: A right triangle with: Adjacent side = 4 Opposite side = 3 Compute cotangent ratio
cot (θ) =
Adjacent
Opposite
=
4
3
= 1.333
Apply arccot θ=cot-1 (1.333) = 36.87° or 0.6435 rad Verification:
cot (36.87°) =
4
3
Example: use arccot to find an angle
Now, here we understand an example of the use of arccot. To understand this, we have given below a picture of the isosceles triangle. In this figure, we have two sides of known length.
The known side length is a = 24, the hypotenuse is b = 8, and a right triangle is shown at point C.
Now we first divide the opposite side and calculate the cot of a.
This gives cot (a) = b/a = 8/24 = 0.3333. 0Now we will use the inverse function here. Using the inverse function, we get degrees and radians. a = arccot (0.3333) = 71.556° (1.2490 radians).
