Which of the following functions have a vertical asymptote for values of theta such that cos theta = 1? Select two answers.

Question

y = sin theta
y = cos theta
y = tan theta
y = sec theta
y = csc theta
y = cot theta

I know what all these functions look like, but I don't know what the question means.

Answer 1

I seriously still have no idea, my friend suggested it's tan and cot, would this be correct?

Answer 2

cosθ=1 at θ=0,2π,4π, ...
sinθ=0 at those same values

so, cscθ = 1/sinθ has asymptotes there

cotθ does also, but in addition it has asymptotes at the other multiples of π

Answer 3

it's cscθ and cotθ ^^