For
\[
\begin{array}{l}
z=x+i y, x, y \in \mathbf{R} \text {, defin...
For
\[
\begin{array}{l}
z=x+i y, x, y \in \mathbf{R} \text {, define } \\
e^{z}=e^{x}(\cos y+i \sin y) \text {, } \\
\sin z=\frac{1}{2 i}\left(e^{i z}-e^{-i z}\right) \\
\text { and } \quad \cos z=\frac{1}{2}\left(e^{i z}+e^{-i z}\right) \\
\end{array}
\]
Number of values of \( z \) for which \( \cos z=0 \) is
(a) 0
(b) 1
(c) two
(d) infinite
\( \mathrm{P} \)
W
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