GATE ECE 2014 Set 2 | Question: 27

Question

The real part of an analytic function $f(z)$ where $z = x + jy$ is given by $e^{-y} \cos(x)$. The imaginary part of $f(z)$ is

• A. $e^{y} \cos( x )$
• B. $e^{-y} \sin( x )$
• C. $-e^{y} \sin ( x )$
• D. $-e^{-y} \sin (x  )$