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)*

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

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

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

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

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

All cotan graphs are built with our **graphical calculator**

**Plot a graph of the cotangent function online**