The cotangent function is y = ctg(x).

The graph of the function is called the cotangensoid. The function is periodic, that is, repeated. The cotangensoid period is defined as T= π.

The function is descending. The branches of the graph are at the same distance from each other (π), being “parallel” with respect to the Y axis.

The scope and scope of the function are all valid numbers.

Example cotangent function graph:

y = ctg(x) cot(x)

Cotan graph y = ctg(x)

  • y = – ctg(x) -cot(x) the graph is shown horizontally
Cotan graph y = -cot(x)

  • y = ctg(2x) cot(2x) the graph is “compressed”, the period is defined as T=1/2π
Cotangent function y = ctg(2x)

  • y = ctg(1/2x) cot(1/2x) – graph “expands” and period – T=2π
Cotan function y = cot(1/2x)

  • y = ctg(x)+2 cot(x)+2 the graph is shifted along the axis Y by n steps
Cotangent graph y = ctg(x)+2

  • y = ctg(x+2) cot(x+2) the graph is shifted along the x-axis by 2 steps
Cotangent function y = ctg(x+2)


All cotan graphs are built with our graphical calculator

Plot a graph of the cotangent function online