Use this arccot calculator khổng lồ easily calculate the arccotangent of a given number. Supports input of either decimal numbers (e.g. 0.5, -0.5) or fractions (e.g. 1/2, -1/2).
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Arccot function
The arccot is one of the inverse trigonometric functions (antitrigonometric functions) & is the inverse of the cotangent function. It is sometimes written as cot-1(x), but this notation should be avoided as it might be confused with an exponent notation. The arccot is used to obtain an angle from the cotangent trigonometric ratio, which is the ratio between the side adjacent to the angle và the side opposite khổng lồ it.
The function spans all real numbers (-∞ - +∞) và so bởi the results from our arccot calculator. The range of the angle values is usually between 0° và 180°. There are a number of arccot rules, lượt thích that tan(arccot(x)) = 1/x, that or sin(arccot(x)) = 1 / √(1+x2), or that cos(arccot(x)) = x / √(1+x2), which can help you in trigonometry calculus.
How lớn calculate the arccot of a number?
The easiest way to calculate it is by using our arccot calculator above, which will output đầu ra results in both degrees & radians. Other ways include other given information, such as the values of other trigonometric functions for the same angle or other angles in the same triangle.
Here is a table of common arccot values:
| -∞ | 180° | π |
| -√3 | 150° | 5π/6 |
| -1 | 135° | 3π/4 |
| -1/√3 | 120° | 2π/3 |
| 0 | 90° | π/2 |
| 1/√3 | 60° | π/3 |
| 1 | 45° | π/4 |
| √3 | 30° | π/5 |
| +∞ | 0° | 0 |
π is, of course, the mathematical constant about equal lớn 3.14159.
Example: find an angle using arccot
Assume there is need khổng lồ know the angle at which two lines meet at point A, but we only have a ruler with a straight angle on it lớn work with. We can assess that the angle at point C is right (90 degrees) và measure the lengths of side a = 12 and side b = 4. How vì chưng we find the angle α at point A without taking additional measures?
First, calculate the cotangent of α by dividng the opposite by the hypotenuse. This way cot(α) = b / a = 4 / 12 = 0.333 can be computed. Then use the inverse cotangent function arccot with this outcome to lớn calculate the angle α = arccot(0.333) = 71.58° (1.25 radians).
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Cite this calculator & page
If you"d like to cite this online calculator resource & information as provided on the page, you can use the following citation: Georgiev G.Z., "Arccot Calculator",