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Arccosine Function

Definition

Definition of the Arccosine Function

The arccosine function $y = \arccos x$ is the inverse function of the cosine function $y = \cos x$ .

Given $y = \arccos x$ , find its domain and range.

Answer and Explanation (3 个标签)

arccosine function domain range

Domain: $[-1, 1]$ ; Range: $[0, \pi]$ .

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

Chinese Term	English Term	Phonetic	Explanation
反余弦函数	arccosine function	/ɑːkˈkəʊsaɪn ˈfʌŋkʃən/	The inverse function of the cosine function, denoted as $y = \arccos x$
反余弦	arccosine	/ɑːkˈkəʊsaɪn/	Function name, abbreviated as $\arccos$
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

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