Answer
$\tan\theta$ and $\cot\theta$ are independent of the value of r.
Work Step by Step
By Definition I-
$\tan\theta$ =$ \frac{y}{x}$
Hence it does not depend on the value of r.
$\cot\theta$ =$ \frac{x}{y}$
Hence it also does not depend on the value of r.
$\sin\theta$ =$ \frac{y}{r}$
Hence it depends on the value of r.
$\cos\theta$ =$ \frac{x}{r}$
Hence it depends on the value of r.
$\sec\theta$ =$ \frac{r}{x}$
Hence it depends on the value of r.
$\csc\theta$ =$ \frac{r}{y}$
Hence it depends on the value of r.
