Question

свойства y=ctg помогите жалуйста

Answer 1

Функция нечётная
Монотонная 
не ограничена 
E(f)[-бесконечноти до +бесконечности]
Периодичная,с периодом Пи

Answer 2

Properties of y = ctg x

The function y = ctg x represents the cotangent function, which is the reciprocal of the tangent function. Here are some properties of the cotangent function:

Definition: The cotangent function, ctg x, is defined as the reciprocal of the tangent function, i.e., ctg x = 1 / tan x.

Graph: The graph of y = ctg x is a periodic function with vertical asymptotes at x = kπ, where k is an integer. It has a period of π.

Relationship with Other Trigonometric Functions: The cotangent function is related to other trigonometric functions as follows: - ctg x = 1 / tan x - ctg x = cos x / sin x

Range and Domain: The range of the cotangent function is all real numbers, and the domain is all real numbers except the values where the function is undefined (i.e., x = kπ).

Even/Odd Function: The cotangent function is an odd function, meaning that ctg(-x) = -ctg x.

Reciprocal Identity: The cotangent function has a reciprocal identity: ctg x = 1 / tan x.

These properties help in understanding the behavior and characteristics of the cotangent function, y = ctg x.