Question

Find the vertical asymptote of f(x)=tan2x

Answer 1

\[\tan^2(x)\]or\[\tan(2x)\]?

Answer 2

tan(2x)

Answer 3

Right. The vertical asymptote is just a value of \(x\) which makes \(f(x)\) undefined. Do you follow?

Answer 4

Yes

Answer 5

We also know that \(\tan(\alpha)\) is undefined at \(\alpha = \large{\pi \over 2}\)

Answer 6

So, if the vertical asymptote is at \(\tan({\pi \over 2})\), and also at \(\tan(2x)\), then what is x = ?

Answer 7

Do we set that equal to 0 to solve for x?

Answer 8

tan (pi/2) = tan (2x)

what do we get if we cross out the tan's?

Answer 9

2x= pi/2 ?

Answer 10

exactly - so solve that for x and u have your answer

Answer 11

thank you!

Answer 12

yw

Answer 13

Yeah