Please help Using their graphs explain the behavior of each

Using their graphs, explain the behavior of each the functions y = sec pi and y = csc x and y = cot x. Y = sec x has a period of and tends towards infinity where the reciprocal function approaches y = sec x is positive on the intervals where cos x is and negative where cos x is y = csc x has a period of and tends towards infinity where the reciprocal function approaches y = csc x is positive on the intervals where sin x is and negative where sin x is y = cot x has a period of and has zeros where tan x approaches y = cot x is positive on the intervals where tan x is and negative where tan x is

Solution

secx :
We know that cosx has period = 2pi
So, secx also has period = 2pi

tends towards infinity when reciprocal approaches 0 obviously

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cscx :
Again sinx has period = 2pi
So, cscx also has period = 2pi

and tends to infinity where reciprocal function approaches 0 again

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cotx :
Tanx has period = pi
So does cotx
cotx has period 2pi

and has zeros when tanx approaches INFINITY