Question

Find the amplitude of the sine curve shown below.

Answer 1

amplitude is just the height of the sine curve

Answer 2

How do i do that? :/

Answer 3

Maximum value - minimum value divided by 2

Answer 4

How do i work this out? I have no clue

Answer 5

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?

Answer 6

4, -4?

Answer 7

Yes. Now what do you do?

Answer 8

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

Answer 9

or

amplitude = distance from middle to either extreme

Answer 10

@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.

Answer 11

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

Answer 12

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

Answer 13

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

Answer 14

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

Answer 15

@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.

Answer 16

@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.

Answer 17

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

Answer 18

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

Answer 19

realtions? What do you mean?

Answer 20

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

Answer 21

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