Math

f(x) = tan x / sin x

Find the vertical asymptote.
Describe its behavior to the left and right of the vertical asymptote.

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  1. tanx/sinx = 1/cosx

    cosx=0 at odd multiples of pi/2.
    So, that is where you have asymptotes.
    cosx changes sign at those points, so also does your graph.

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