arccotx
The arccotangent function, often denoted as arccot(x) or cot^-1(x), is the inverse function of the cotangent function
The arccotangent function, often denoted as arccot(x) or cot^-1(x), is the inverse function of the cotangent function. It is defined as the angle whose cotangent is equal to x.
To find the arccotangent of a given value x, you need to determine the angle that has a cotangent equal to x. This is done by using the following formula:
arccot(x) = arctan(1/x)
In other words, the arccotangent of x is equal to the arctangent of the reciprocal of x.
For example, let’s say you want to find the arccotangent of x = 2. Using the formula above, you can calculate it as:
arccot(2) = arctan(1/2)
Now, you can use a calculator or a table of trigonometric values to find the arctangent of 1/2. Typically, calculators provide the arctangent function, often denoted as atan(x) or tan^-1(x).
Using a calculator, you would enter 1/2 and then press the arctan or tan^-1 button to obtain the result. For this example:
arccot(2) ≈ 26.565 degrees
Therefore, the arccotangent of x = 2 is approximately 26.565 degrees.
Keep in mind that the arccotangent function can also produce values in radians, depending on the calculator settings or problem context.
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