Answer
$\csc\theta$ and $\cot\theta$ are not defined.
$\cos\theta=1$
$\sin\theta=0$
$\sec\theta=1$
$\tan\theta=0$
Work Step by Step
Given $\cos\theta=1$
Recall: $\sin^{2}\theta+\cos^{2}\theta=1$
$\implies 1^{2}+\sin^{2}\theta=1$
Or $\sin^{2}\theta=0\implies \sin\theta=0$
$\csc\theta=\frac{1}{\sin\theta}=\frac{1}{0}=\text{undefined}$
$\sec\theta=\frac{1}{\cos\theta}=\frac{1}{1}=1$
$\tan\theta=\frac{\sin\theta}{\cos\theta}=\frac{0}{1}=0$
$\cot\theta=\frac{\cos\theta}{\sin\theta}=\frac{1}{0}=\text{undefined}$
