Can someone give me a real world example of a periodic function

Question

parthkohli · Answer

the clock.

anonymous · Answer

How do I put that into a function and graph it

parthkohli · Answer

The time a clock shows $n$ hours after 12 o'clock is $12 + n $ modulo 12.

anonymous · Answer

I hate to be a pain but could you give me an example please

parthkohli · Answer

$n$ is your input and $12 + n$ modulo 12 is the output. If you want the time shown on the clock $4$ hours after $12$, then you must calculate the remainder you get when you divide $12 + 4$ by $12$, which is $4$.

parthkohli · Answer

Be honest: am I being of any help here? :-)

anonymous · Answer

Yes, I am trying to see if I am doing it correctly. But I cant understand why we divide by 12

parthkohli · Answer

It's a long concept. Have you heard of clock-12 arithmetic?

anonymous · Answer

no

parthkohli · Answer

Well, it goes like this:

If you wanna add two given times on the clock, you must first add them, then calculate the "extra" amount you got there after 12.

So if you wanna add 6 to 7 o'clock, it won't be 13 o'clock. It'd be 1 o'clock instead because you are 1 "extra" after 12.

parthkohli · Answer

OK, but you do understand that time on the clock keeps repeating right?

anonymous · Answer

Yes I understand that and I know that cos and sin do also, but I cant express it in terms of a function

parthkohli · Answer

What if you want to know the time after $x$ hours after $12$ o'clock?

anonymous · Answer

Not sure what you mean

parthkohli · Answer

After an hour, it is $1$ o'clock. After two, it is $2$ o'clock.

You can make a table.

y   x
1  1
2  2
3  3
4  4
.   .
.   .
1 13

anonymous · Answer

Okay, i think i know where I am confused. I do not add 24 hours, I stop after 12 hours and and start over again

goformit100 · Answer

I ♥ Mathematics..... Thanks To Her..... Do To Her Love For Me, I started LOVING Mathematics...

goformit100 · Answer

*Due