Respuesta :

[tex](sinx+cosx)/cosx*sinx= \frac{sin(x)+cos(x)}{cos(x).sin(x)} =\frac{sin(x)}{cos(x).sin(x)}+\frac{cos(x)}{cos(x).sin(x)}\\~\\~\\=\frac{1}{cos(x)}+\frac{1}{sin(x)}=sec(x)+cosec(x)[/tex]

I hope that helps!