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y = cot x cos2x - 2 cot x <-- factor to yield

y = cot x (cos2x -2) (cos2x -2) yields no vetrical asymptotes

cot x will have vertical asymptotes when the function is undefined.

cot x = cos x / sin x when sin x becomes zero the function is undefined

and creates a vertical asymptote

sin x = 0 when x = { 0, pi, 2pi, 3pi,etc} these are your vert. asymptotes

also remember the neg values --- so x = npi where n is any integer

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12y ago

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