Answer
The cosecant and cotangent functions are undefined. The other function values are:
$\cos\theta=1$
$\sin\theta=0$
$\sec\theta=1$
$\tan\theta=0$
Work Step by Step
$\cos\theta=1$
$\sin^{2}\theta+\cos^{2}\theta=\sin^{2}\theta+1^{2}=1$
$\implies \sin^{2}\theta=0$ or $\sin\theta=0$
$\sec\theta=\frac{1}{\cos\theta}=\frac{1}{1}=1$
$\csc\theta=\frac{1}{\sin\theta}=\frac{1}{0}$
As denominator vanishes, $\csc\theta$ is undefined.
$\cot\theta=\frac{\cos\theta}{\sin\theta}=\frac{1}{0}$ is also undefined.
$\tan\theta=\frac{\sin\theta}{\cos\theta}=\frac{0}{1}=0$