Answer
$\sec\theta=\frac{61}{60}$
$\cot\theta=\frac{60}{11}$
Work Step by Step
$\tan\theta=\frac{11}{60}$
$\tan^2\theta+1=\sec^2\theta$
$\frac{121}{3600}+1=\sec^2\theta$
$\sec^2\theta=\frac{3721}{3600}$
$\sec\theta=\frac{61}{60}$
$\cot\theta=\frac{1}{\tan\theta}$
$\cot\theta=\frac{60}{11}$