Question

what is the period of y=tan(3x)

Answer 1

The period of tanx is pi
so what will be the period for tan3x?

Answer 2

pi over 3? im not sure...

Answer 3

3x

Answer 4

3pi

Answer 5

well here as situation where that tan(x)=0
it happens for every multiple of pi

Answer 6

....

Answer 7

i dont get it

Answer 8

you already answered!

Answer 9

Try drawing a picture.

Answer 10

oh wowww

Answer 11

OH WAIT I GET IT

Answer 12

wait idk lol...

Answer 13

tangent is on its period? :O

Answer 14

I'm just giving more sense to your answer

Answer 15

No you know, just what you said first

Answer 16

i just guessed

Answer 17

pi over 3?

Answer 18

i feel like its that

Answer 19

well that is why i give you some more evidence to make sure

Answer 20

yes!

Answer 21

The correct answer is pi/3.

Answer 22

how about when i do y=cot(11/3 pi)

Answer 23

is it 3/11

Answer 24

or is it negative?

Answer 25

you are looking for what?

Answer 26

period

Answer 27

It is pi/3 No negatives bud

Answer 28

ohhhh but why? what happens to the 11

Answer 29

is it y=cot(11/3x)?

Answer 30

yessss sorry

Answer 31

I don't know why you are looking for the period in cot(11pi/3)?
if you are asking y=cot(11/3x)
it is the same concept
cot have a period of pi like tan

Answer 32

So yeah you are right in your first attempt 3/11pi is good

Answer 33

it was an example question thats why i was just making sure. thank you brother

Answer 34

Welcome!
it just about dividing the period all the time

Answer 35

its so weird though haha

Answer 36

hehe why? make sense! draw it and you will see what is happening

Answer 37

that's true, and i have one last question, how does it work for sec?

Answer 38

like trying to find the period

Answer 39

sec have period of 2pi like cosine

Answer 40

every 2pi it take the same values that's what happens

Answer 41

that confuses me... i have one last question that is y=sec(pi/9 x)

Answer 42

but i know the period is 9

Answer 43

isn't**

Answer 44

pi/9x=2pi

Answer 45

???? thats so weird lol

Answer 46

lol why? 18 radians

Answer 47

the period is 2pi?

Answer 48

no 18 radians

Answer 49

ohhhhh

Answer 50

not a full circle not a half circle but 18 radians

Answer 51

what is 14 radians

Answer 52

would that be 2pi too

Answer 53

14 radians in degrees?

Answer 54

No it is not

Answer 55

oh im only asking cause i had to find period of csc(7x) so i thought it would be 1/2

Answer 56

7x=2pi ====> x=2pi/7

Answer 57

ohh

Answer 58

csc(7x) runs 7 times faster than the usual csc(x)

Answer 59

thanks guys!!!

Answer 60

it helps to think of period as the "time taken" for completing one cycle

Answer 61

@ganeshie8 Exactly!

Answer 62

the bigger the amplitude "i think its called" the faster it is
cos(At) A amplitude

Answer 63

I'm a bit late to the party, but the period of y = A*tan(Bx-C) + D is

T = pi/B

this is for the first problem at the top.