If \[\cos (u+iv)=\alpha +i\beta ,\] then \[{{\alpha }^{2}}+{{\beta }^{2}}+1\] equals [RPET 1999]

\[{{\sin }^{2}}u+{{\sinh }^{2}}v\]

\[{{\cos }^{2}}u+{{\sinh }^{2}}v\]

\[{{\sin }^{2}}u+{{\cosh }^{2}}v\]

\[{{\cos }^{2}}u+{{\cosh }^{2}}v\]

If \[\cos (u+iv)=\alpha +i\beta ,\] then \[{{\alpha }^{2}}+{{\beta }^{

1.	If \[\cos (u+iv)=\alpha +i\beta ,\] then \[{{\alpha }^{2}}+{{\beta }^{2}}+1\] equals [RPET 1999]
A.	\[{{\cos }^{2}}u+{{\sinh }^{2}}v\]
B.	\[{{\sin }^{2}}u+{{\cosh }^{2}}v\]
C.	\[{{\cos }^{2}}u+{{\cosh }^{2}}v\]
D.	\[{{\sin }^{2}}u+{{\sinh }^{2}}v\]
Answer» D. \[{{\sin }^{2}}u+{{\sinh }^{2}}v\]

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If \[\cos (u+iv)=\alpha +i\beta ,\] then \[{{\alpha }^{2}}+{{\beta }^{2}}+1\] equals [RPET 1999]

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