`y=cot^(-1)(cot x)`
`rArr" "cot y cot x`
`rArr" "tan y = tan x`
`rArr" "y=npi+x, n in Z`
Now `y in (0, pi)`, We have the following table for values of x and y.
From the above information, we can plot the graph of `y=cot^(-1)(cosx)` as shown in the following figure.