From the figure below determine the appropriate correlation between the coordinate systems. $($The answers below show two different forms, they are equal to each other, and depending on how you solve the question you may get one or the other. e$.$g$.$

$sin(+)=sin()cos()+cos()sin()$

$sin(+)=sin()cos()+cos()sin()$

$-sin(+)=-sin()cos()-cos()sin()$

$cos(+)=cos()cos()-sin()sin()$

$-cos(+)=-cos()cos()+sin()sin()$