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True or False: The domain of trigonometric functions can be restricted to any one of their branch(not necessarily principal value) in order to obtain their inverse function.

$\begin{array}{1 1} True \\ False \end{array} $

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Ans - True
 
By choosing the proper interval with the same span as that of its corresponding
principal interval we can fix the domain.
That is for example principal interval of \(sin^{-1}x\) is \((-\frac{\pi}{2},\frac{\pi}{2})\).We can fix any of theintervals,\((\frac{\pi}{2},\frac{3\pi}{2})\:\:or\:(\frac{3\pi}{2},\frac{5\pi}{2})\)........ as the range of \(sin^{-1}x\)
 

 

answered Feb 18, 2013 by thanvigandhi_1
edited Mar 10, 2013 by rvidyagovindarajan_1
 

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