arcctg
Represents the inverse (arc) cotangent function in mathematical expressions, returning angles from cotangent values.
Overview
Serves as a fundamental inverse trigonometric function, particularly important in calculus, trigonometry, and mathematical analysis.
- Returns angles in radians when given a cotangent value
- Common in solving trigonometric equations and geometric problems
- Often used alongside other inverse trig functions in advanced mathematics
- Particularly relevant in engineering calculations and physics problems involving angular measurements
- Alternative notation to arccot, though less commonly used in modern mathematical writing
Examples
Finding the inverse cotangent of x in a trigonometric equation
y = \arcctg(x)Solving a trigonometric identity involving inverse cotangent
\arcctg(x) + \arctan(x) = \frac{\pi}{2}Computing the derivative of inverse cotangent
\frac{d}{dx}\arcctg(x) = -\frac{1}{1 + x^2}