1 окт. 2022 г. · The cos inverse fuction is valid only for numbers in [-1,1]. So 2x-1 must lie between -1 and 1. So, the domain of this function is [0,1]. |
![The range of ARCCOS is [-pi,pi]. Is this true or false? - Quora](img.php?q=tbn:ANd9GcSGfL_wfdGmhf4ePoVbgp5uKjdNC3UejQt_Tvp3hpoysq4GLRo1aWjWIpyI&s)
![Why is the domain and range of arcsine restricted to [-1,1] and ...](img.php?q=tbn:ANd9GcQjNapERW24SfzY8orGoNOyRjuyQUwMKM9D_XuD6bucOb37Fk1oYlDcoSk&s)
23 авг. 2022 г. · Remember that the domain of an inverse function is equal to the range of the original function. So, for example, since the range of the sine ... |
19 июл. 2018 г. · The function cos^(-1) is constructed by restricting the domain and co-domain of the cosine function to the intervals [0,π] and [-1,1] respectively. |
25 дек. 2016 г. · The range depends upon your choice of domain. If you do indeed choose your domain as x∈ℝ, -⅓ ≤ x ≤ 1, then the range is [0, π]. |
14 авг. 2015 г. · More generally, if f(x) = a cos(x) + b sin(x) (where a, b are real constants), then the domain of f is R or (-inf, inf), and the range is (−sqrt ... |
25 апр. 2020 г. · If the function is defined by y=f(x) y = f ( x ) then for every x x in the domain we get a y y in the range. The inverse works this backwards. |
21 окт. 2015 г. · Because restricting the domain is the only way to get a well defined function for the inverse. Otherwise, you have to resort to "multi ... |
12 окт. 2021 г. · The domain of a function f(x) f ( x ) is the range of its inverse f−1(x) f − 1 ( x ) and vice versa. |
8 февр. 2021 г. · What is the range of cos−1x ? Cos(x) has range [-1,1] therefore its inverse function cos-¹(x) has domain [-1,1]. |
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