The real part of \[{{\sin }^{-1}}({{e}^{i\theta }})\] is [RPET 1997]

\[{{\sinh }^{-1}}(\sqrt{\sin \theta })\]

\[{{\cos }^{-1}}(\sqrt{\sin \theta })\]

\[{{\sin }^{-1}}(\sqrt{\sin \theta })\]

\[{{\sin }^{-1}}(\sqrt{\cos \theta })\]

The real part of \[{{\sin }^{-1}}({{e}^{i\theta }})\] is [RPET 199

1.	The real part of \[{{\sin }^{-1}}({{e}^{i\theta }})\] is [RPET 1997]
A.	\[{{\cos }^{-1}}(\sqrt{\sin \theta })\]
B.	\[{{\sinh }^{-1}}(\sqrt{\sin \theta })\]
C.	\[{{\sin }^{-1}}(\sqrt{\sin \theta })\]
D.	\[{{\sin }^{-1}}(\sqrt{\cos \theta })\]
Answer» B. \[{{\sinh }^{-1}}(\sqrt{\sin \theta })\]

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The real part of \[{{\sin }^{-1}}({{e}^{i\theta }})\] is [RPET 1997]

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