$\sin x=\large\frac{3}{5}$
$\Rightarrow \large\frac{MP}{OP}=\frac{3}{5}$
$OM=-\sqrt{5^2-3^2}$
$\Rightarrow -\sqrt{25-9}=-\sqrt{16}=-4$
$\cos x=\large\frac{OM}{OP}=-\frac{4}{5}$
$\tan x=\large\frac{MP}{OM}=\frac{3}{-4}=-\frac{3}{4}$
$cosec x=\large\frac{OP}{MP}=\frac{5}{3}$
$\sec x=\large\frac{OP}{OM}=\frac{5}{-4}=-\frac{5}{4}$
$\cot x=\large\frac{OM}{MP}=\frac{-4}{3}=-\frac{4}{3}$