Respuesta :
Using the range concept, it is found that the range of [tex]y = \csc^{-1}(x)[/tex] is [-1,1].
The range of a function is the set that contains all possible output values.
Co-secant is 1 divided by sine, hence:
[tex]\csc{x} = \frac{1}{\sin{x}}[/tex]
Then:
[tex]\csc^{-1}{x} = \frac{1}{\csc{x}} = \frac{1}{\frac{1}{\sin{x}}} = \sin{x}[/tex]
The sine function assumes values between -1 and 1, inclusive, hence the range of [tex]y = \csc^{-1}(x)[/tex] is [-1,1].
To learn more about the range of functions, you can take a look at https://brainly.com/question/10891721
Answer:
-pi/2,0 & 0,pi2
Step-by-step explanation:
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