Question

Where are the asymptotes of f(x) = tan 2x from x = 0 to x = π?

Answer 1

x = 0, x = π, x = 2π

x = 0, x = pi over 4

x = pi over 4, x = 3 pi over 4

x = pi over 2, x = 3 pi over 2

Answer 2

@phi this is like a foreign language to me..

Answer 3

if you look at a plot of tangent you will see it shoot up (or down) at certain values.
see http://www.mathsisfun.com/algebra/trig-sin-cos-tan-graphs.html

Answer 4

now would i need to plot this or is there a way to solve it by looking at it.

Answer 5

if you look at the plot I gave you (or you memorize) that tangent "zooms up" at pi/2 (90º) and at -pi/2 (-90º), and repeats every 180º (every pi)

you can figure out this problem. where does tan(2x) zoom up ?
when 2x = pi/2
solve for x

Answer 6

oooohhhhh k got it.