Question

Last Question of the Day! :)

Answer 1

1) Write a tangent function

Answer 2

\[\tan(\frac{ a }{ b })\]

Answer 3

2) Graph the function on the interval \[-2\pi \to 2\pi\]

Answer 4

3) Identify the period and the asymptotes of the function

Answer 5

Wait so I can choose any numbers for a and b?

Answer 6

it is not a periodic function

Answer 7

which tangent function do you recommend, that I can graph?

Answer 8

not getting ur question

Answer 9

Firstly, I need to write a tangent function with any numbers.
Second, I have to graph that same function on the interval -2pi to 2pi.
Third, I have to identify the period and the asymptotes of the function.

Answer 10

I want to know firstly, what is a tangent function. Can you give me an example?

Answer 11

tangent function is a ratio of sin theta and cos theta, it is also a trigonometric function
\[\tan \theta=\frac{ \sin \theta }{ \cos \theta }\]

Answer 12

theta can be pi/4, pi/2 etc.

Answer 13

is tan1(theta) a tangent function?

Answer 14

not tan l(theta)
only tan (theta)

Answer 15

right, so tan(theta) is a tangent function?

Answer 16

ya dear

Answer 17

thank you :)

Answer 18

so what are the asymptotes of the function?

Answer 19

from \[-2\pi \to 2\pi, \it is \pm \pi/2, \pm 3\pi/2\]

Answer 20

asymptotes are points where function tends to infinity

Answer 21

at these points the tangent function has a value of infinity.
is it clear

Answer 22

graph is like this

Answer 23

so it has infinite asymptotes?

Answer 24

no no but at intervals like the points i mentioned
which can be generalized as
\[-\pi/2-n \times \pi and \pi/2+n \times \pi, n=0,1,2,3,.......\]

Answer 25

I still don't get what "asymptotes" are :(

Answer 26

you download the attachment ive just sent you above, the grey lines are aymptotes.
the green and grey lines tend to meet at infinity. they are asymptotes

Answer 27

i hink you should be happy

Answer 28

thank you, you are of so much help!! :) :)

Answer 29

final question :D

Answer 30

sure

Answer 31

is the period also 2pi over cycles?

Answer 32

so its 2pi/5 ?

Answer 33

no dear, it is pi, because for this much period it is continuous and repeating the same pattern

Answer 34

so the period is pi?

Answer 35

yes you got it.

Answer 36

THANK YOU THANK YOU :D

Answer 37

best response aagainn

Answer 38

awesome welcome

Answer 39

:)

Answer 40

i was messaging u and u didn replied