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  • 01-04-2019
  • Mathematics
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sin(Sin^-1 x)=x for -1<=x<=1. True or false?

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Аноним Аноним
  • 01-04-2019

Answer:

True

Step-by-step explanation:

In general, when you compose a function [tex]f(x)[/tex] with its inverse [tex]f^{-1}(x)[/tex], you always get the identity function:

[tex]f(f^{-1}(x))=x[/tex]

The limitation [tex]-1\leq x \leq 1[/tex] is necessary because the arcsin function wouldn't be defined otherwise.

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