## EmilyJernigan Group Title Find the amplitude of the sine curve shown below. 2 years ago 2 years ago

1. EmilyJernigan Group Title

2. completeidiot Group Title

amplitude is just the height of the sine curve

3. EmilyJernigan Group Title

How do i do that? :/

4. vf321 Group Title

Maximum value - minimum value divided by 2

5. EmilyJernigan Group Title

How do i work this out? I have no clue

6. vf321 Group Title

I.e., A regular sine curve has a minimum value at -pi/2, equal to -1. At +pi/2, it's value is 1. Thus, you have $\frac{1-(-1)}{2}=1$For your curve, what're the max and min values?

7. EmilyJernigan Group Title

4, -4?

8. vf321 Group Title

Yes. Now what do you do?

9. bronzegoddess Group Title

the amplitude is 4, because if you look at the graph.. the amplitude is from zero to the highest point.

10. jim_thompson5910 Group Title

or amplitude = distance from middle to either extreme

11. vf321 Group Title

@bronzegoddess "from zero" is not a solution for all possible sine curves. For example, sin(x)+1, "from zero" has an amplitude of 2, whereas in reality it's 1. @jim_thompson5910 yeah that's right but not rigidly defined.

12. jim_thompson5910 Group Title

true, but it's a good way to think about it

13. jim_thompson5910 Group Title

it's a basic way at least, if you get too rigorous, then you may confuse things (at least in my opinion)

14. vf321 Group Title

Well that's why I didn't start getting into domains and formal declarations and such...

15. jim_thompson5910 Group Title

lol yeah, don't need to get into those ideas (just yet)

16. bronzegoddess Group Title

@vf321 its a simple way to think about it sorry if I am wrong.. if I was given an example like sin(x)+1 I would know that the amplitude is 1 because Asinx(Bx-C)+D, the amplitude is the number before the sin.

17. vf321 Group Title

@bronzegoddess yes of course no attack intended just didn't want @EmilyJernigan to use that method since she doesn't have the same intuition about it that you do.

18. bronzegoddess Group Title

its okay, no harm intended on my part too :)

19. bronzegoddess Group Title

@vf321 do you think you could explain relations to me?

20. vf321 Group Title

realtions? What do you mean?

21. vf321 Group Title

Make a question about it and address all points. It's a bit informal doing it on someone else's question.

22. bronzegoddess Group Title

okay'll switch, I just wanted to know if you could help.