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

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.

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

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  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

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  3. it's cscθ and cotθ ^^

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