Answer
$\tan\theta$ and $\sec\theta$ are undefined.
$\sin\theta=1$
$\cos\theta=0$
$\csc\theta=1$
$\cot\theta=0$
Work Step by Step
Given $\sin\theta=1$
Recall: $\sin^{2}\theta+\cos^{2}\theta=1$
$\implies 1^{2}+\cos^{2}\theta=1$
Or $\cos^{2}\theta=0\implies \cos\theta=0$
$\csc\theta=\frac{1}{\sin\theta}=\frac{1}{1}=1$
$\sec\theta=\frac{1}{\cos\theta}=\frac{1}{0}=\text{undefined}$
$\tan\theta=\frac{\sin\theta}{\cos\theta}=\frac{1}{0}=\text{undefined}$
$\cot\theta=\frac{\cos\theta}{\sin\theta}=\frac{0}{1}=0$
