Draw the graph of `y = " cosec "^(2) x - cot^(2) x.` Is f(x) periodic ? If yes, what is its fundamental period ?

Explanation

We have `y = " cosec "^(2) x - cot^(2) x`
Domain of this function is `R - {n pi, n in Z}`
So the graph of the function is the straight line y = 1 for `x in R - {n pi, n in Z}.`

From the graph, the fundamental period of the function is `pi`.