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Q 1406880778.     Let `f(z)=sin z` and `g(z)=cosz`. If `ast` denotes a composition of functions, then the value of `(f + ig) ast (f-ig)` (where `i = sqrt(-1)`) is

A

`ie^(iz)`

B

`ie^(-e^(iz))`

C

`ie^(e^(-iz))`

D

None of these

HINT

`·: (f -ig)z = f(z)-ig (z)= sinz -i cosz` `= -i (cosz + i sin z)=- ie^(iz)`

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