Need to find the angle whose cotangent is a given number? Our Arccot Calculator makes it simple! Just enter the cotangent value, and we'll calculate the arccotangent in both radians and degrees. Ideal for trigonometry problems, engineering, and educational purposes.
Arccot Calculator
Enter the value for which you want to calculate the arccotangent.
Formula:
Results:
Arccotangent (Radians):
Arccotangent (Degrees):
Understanding Arccotangent (Arccot)
The arccotangent, denoted as arccot(x) or cot-1(x), is the inverse cotangent function. In simpler terms, it answers the question: "What angle has a cotangent equal to x?". It's a crucial function in trigonometry, calculus, and various fields of engineering and physics.
Definition: If y = cot(θ), then θ = arccot(y). The arccotangent function returns the angle θ in radians or degrees whose cotangent is y. The principal value of arccotangent is typically defined in the range (0, π) radians or (0°, 180°) degrees.
Use Cases: Arccotangent is used in scenarios where you know the ratio of the adjacent side to the opposite side of a right-angled triangle and need to find the angle. It's also essential in calculus for integration and differentiation, and in computer graphics, navigation, and more.
Formula: The arccotangent can be calculated using the arctangent (tan-1 or arctan) function: arccot(x) = arctan(1/x). This is the formula our calculator uses to provide accurate results quickly.
For further reading, you can refer to resources like Wikipedia's article on Inverse Trigonometric Functions.