Question

period of cot 3x-cos(4x+3) is

Answer 1

the period of tangent/cotangent is 360 degrees or pi

Answer 2

tan(pi/2-theta)-sec(pi/2+4x+3)

Answer 3

@Mavi.Pundir this is for @dg2 's question please delete your comments

Answer 4

@ganeshie8

Answer 5

ohh i am wrong

Answer 6

both `cot(3x)` and `cos(4x+3` are periodic functions
so simply take the LCM of their periods to get the overall period

Answer 7

3x*(4x+3) lcm?

Answer 8

the period of cos is 360 and the period of cot is 180 @ganeshie8 are you saying to take the LCM so it is 180 deg?

Answer 9

yes pi is the answer i think

Answer 10

period of cos(x) is 360
period of cos(4x+3) is 360/4 = 90, right ?

Answer 11

i think thats right

Answer 12

similarly,
period of cot(x) is 180
so period of cot(3x) would be 180/3 = 60

Answer 13

i cant able to follow

Answer 14

take the LCM of 60 and 90

Answer 15

180

Answer 16

i think the period of cos is 360 and cot is 180.then

Answer 17

lol.@Mavi.Pundir

Answer 18

i think you are new comer.

Answer 19

@Mavi.Pundir please do not spam, this question is already confusing...

Answer 20

@Mavi.Pundir this is for dg2's question delete your usless comments

Answer 21

CrashOnce first tell me hot to get medals

Answer 22

i gave you one :)
just click on "Best Response" button on the right side of any reply

Answer 23

thank you but you will delete it

Answer 24

back to @dg2 's question please

Answer 25

yes

Answer 26

i will also help

Answer 27

okay.help me to solve

Answer 28

let me ask you a question :
imagine you're running around a circular track :

Answer 29

suppose if u run at `x m/s` speed, you take `180 seconds` to complete one round,

here is the question :

how much time will u take if u run at `3x m/s` speed ?

Answer 30

60seconds

Answer 31

how did u get 60 seconds ?

Answer 32

so 360/4

Answer 33

180/3

Answer 34

so 360/4 but there is addition of 3

Answer 35

but addition of 3

Answer 36

yes, we use the same logic :

cot(x) runs at x m/s and completes one cycle in 180 seconds
cot(3x) runs at 3x m/s and completes one cycle in 180/3 seconds

Answer 37

can you figure out the period of cos(4x+3) using the same logic ?

Answer 38

yes 360/4+3

Answer 39

forget about the addition of 3, its just a phase difference... (the starting point of ur run) it won't affect the period

Answer 40

90

Answer 41

cos(x) runs at x m/s and completes one cycle in 360 seconds
cos(4x+3) runs at 4x m/s and completes one cycle in 360/4 seconds

Answer 42

so we have below :
period of cot(3x) = 60
period of cos(4x+3) = 90

Answer 43

we get 180

Answer 44

Yep !

Answer 45

i got it @ganeshie8

Answer 46

good :)