Question

please , I need a help!!

an example of periodic function ( even ) , in period 1 and in the first quarter ?

another example of periodic function ( odd ) , in period 1 and in the first quarter ?

Answer 1

"sin" is an odd function and "cos" is an even function

Answer 2

how we make them in the first quarter and in one period?

Answer 3

Hi,Rama:
Well all what you need to do is limiting these functions

Answer 4

\[\cos (x) : Where x \in [0,2\]

Answer 5

Just saying please look at the figure of sin and cos functions and determine the boundaries so the function is evaluated in the first period

Answer 6

from phi to 2 phi for example

Answer 7

when you do this you will make for each a period and located in first quarter

Answer 8

Do you understand what I just said??

Answer 9

i am sorry :\ in fact i do not understand what you mean

Answer 10

Continuous functions like sin and cos needs to be limited by a period like [0,phi] it depends on the figure of the function if it passes through 0 and phi or not . you can use another period based on what you know. I don't remember the exact periods of sin and cos

Answer 11

Hope you understand, Hema from Libya
Regards,

Answer 12

the period of both sin and cos is : 2 phi

Answer 13

I meant the boundaries "The boundaries" sorry if I misguide you

Answer 14

as a result , can we say that ( sinx + 2 ) is an example of periodic function ( odd ) , in period 1 and in the first quarter ?

Answer 15

Thank you very much @Hema777 :))

@dan815 @TheSmartOne @Nnesha .. can any one give me another answer,please?

Answer 16

Check if it passes through the origin. Yes for even and No for Odd

Answer 17

Draw the function you just mentioned

Answer 18

You are welcome, got to go. Regards,

Answer 19

Ok, i will do it and show ..
Thank you again :))