The given function is
[tex]f(x)=\cot x[/tex]
Its graph is
It has a vertical asymptote at x = 0 and at x = pi(n) where n is integer
It is an odd function
It has zeroes at x = pi/2, 3pi/2
It is repeated every pi period, then its period is pi
Then the correct statements are
f(x) has an asymptote at x = 0 ------- B
f(x) has a period of pi ------- D
The answers are B and D
