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Sin(Sin^-1 x)=x for -1<=x<=1. True or false?

User Virginio
by
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1 Answer

2 votes

Answer:

True

Explanation:

In general, when you compose a function
f(x) with its inverse
f^(-1)(x), you always get the identity function:


f(f^(-1)(x))=x

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

User RLesur
by
7.8k points

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