Question

The function \( f(x)=\sin \left(\sin ^{-1}(x)\right) \) - gives \( f(x)=x \) for all \( x \) in its domain. Is it also true f

Step 1

Yes, it is a property of inverse trigonometry that sin1(sin(x))=xfor all x in its domain.
Hence, TRUE

Justification:
If g:ABis a bijection, then f1:BAexists such that g1g(x)=xfor all xR






Final Answer

sin1(sin(x))=xfor all x in its domain is TRUE


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