For the functions $f_1(x,y)=xy+sinx,f_2(x,y)=x+sin{y}^2,$ the Jacobian matrix at $x=y=0$ is:

a$)\left[\begin{array}{cc}1& 0\\ 1& 0\end{array}\right]$

c$)\left[\begin{array}{cc}1& 0\\ 1& -1\end{array}\right]$

b$)\left[\begin{array}{cc}1& 1\\ 0& -2\end{array}\right]$

d$)\left[\begin{array}{cc}1& 0\\ 1& 2\end{array}\right]$