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Arccotangent Function

Definition

Definition of the Arccotangent Function

The arccotangent function $y = \operatorname{arccot} x$ is the inverse function of the cotangent function $y = \cot x$ .

Given $y = \operatorname{arccot} x$ , find its domain and range.

Answer and Explanation(3 个标签)

arccotangent functiondomainrange

Domain: $\mathbb{R}$ ; Range: $(0, \pi)$ .

Symbol	Type	Pronunciation/Explanation	Meaning in This Article
$\pi$	Greek letter	Pi (pie)	Pi, used to represent the range of the arccotangent function $((0, \pi))$

Chinese Term	English Term	Phonetic	Explanation
反余切函数	arccotangent function	/ɑːkkəʊˈtændʒənt ˈfʌŋkʃən/	The inverse function of the cotangent function, denoted as $y = \arccot x$
反余切	arccotangent	/ɑːkkəʊˈtændʒənt/	Function name, abbreviated as $\arccot$
反函数	inverse function	/ɪnˈvɜːs ˈfʌŋkʃən/	A function that is the inverse of the original function
定义域	domain	/dəʊˈmeɪn/	The range of values for the independent variable
值域	range	/reɪndʒ/	The range of values for the function