1. ## graphic

on the same set of axes plot the graphs of y = sin alpha, y = 2sin alpha, y = 3 sin alpha. what can you deduce about the relationship between the curves y = sin alpha and y = k sin alpha?
well from the graph (from a graphic calculator btw) the result is pretty obvious, ijsut dont know the appropriate term to describe it. increase in y, what? some specific transformation?

2. Hi

$\displaystyle y=k\cdot sin(\alpha)$

$\displaystyle k$ means the amplitude, that is, the maximum 'height and depth' of the curve.

You could say that $\displaystyle k \mapsto k\cdot sin(\alpha)$ is a transformation from $\displaystyle \mathbb{R} \mbox{ to } \mathbb{R}$ , and the codomain of $\displaystyle k\cdot sin(\alpha)$ is $\displaystyle [-k,k]$

3. thats very pretty im sure but it doesnt make sense to me yet, it has to be something simpler. thanks anyways

4. Originally Posted by furor celtica
thats very pretty im sure but it doesnt make sense to me yet, it has to be something simpler. thanks anyways
The "amplitude" furor celtica mentioned is the "height" the graph reaches above and below the alpha-axis. Multiplying sin(alpha) by k multiplies the height by k. That is pretty much what furor celtica said but I can't imagine any simpler way of saying it.

5. im furor celtica btw