$cosx=\frac{1}{3} \Rightarrow cos^2x=\frac{1}{9}\Rightarrow sin^2x=\frac{8}{9}$Do $0<x<\frac{\pi}{2}\Rightarrow sinx>0\Rightarrow sinx=\frac{2\sqrt{2}}{3}$$tanx=\frac{\sin x}{\cos x}=2\sqrt{2}$$cotx=\frac{1}{tanx}=\frac{1}{2\sqrt{2}}$
$
\cos
x=\frac{1}{3} \Rightarrow
\cos^2x=\frac{1}{9}\Rightarrow
\sin^2x=\frac{8}{9}$Do $0<x<\frac{\pi}{2}
\Rightarrow
\sin
x>0
\Rightarrow
\sin
x=\frac{2\sqrt{2}}{3}$$
\tan
x=\frac{\sin x}{\cos x}=2\sqrt{2}$$
\cot
x=\frac{1}{
\tan
x}=\frac{1}{2\sqrt{2}}$