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 sin−1(sin⁡(x))=xfor all x in its domain.
Hence, TRUE

Justification:
If g:A→Bis a bijection, then f−1:B→Aexists such that g−1∘g(x)=xfor all x∈R






Final Answer

sin−1(sin⁡(x))=xfor all x in its domain is TRUE


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