To calculate the cotangent inverse:
\[ \text{arccot}(x) = \frac{\pi}{2} - \text{arctan}(x) \]
Where:
Cotangent inverse, also known as arccotangent or cotangent inverse, is a mathematical function that calculates the angle whose cotangent is a given number. It is the inverse operation of the cotangent function, which means it undoes the action of the cotangent function. The cotangent of an angle in a right triangle is the ratio of the adjacent side to the opposite side. Therefore, the cotangent inverse of a number gives the angle whose cotangent is that number.
Let's assume the following value:
Using the formula:
\[ \text{arccot}(1) = \frac{\pi}{2} - \text{arctan}(1) = \frac{\pi}{2} - \frac{\pi}{4} = \frac{\pi}{4} \approx 0.79 \, \text{radians} \]
The Cotangent Inverse is approximately 0.79 radians.
Let's assume the following value:
Using the formula:
\[ \text{arccot}(0.5) = \frac{\pi}{2} - \text{arctan}(0.5) \approx \frac{\pi}{2} - 0.46 \approx 1.11 \, \text{radians} \]
The Cotangent Inverse is approximately 1.11 radians.
