Hello I know the formula for a minimum point in a quadratic curve (-b/2a) but I've been faced with a graph of y=sinx and I need to find the coordinates of the maximum point.
I've gussed at 45,90. Any help?
Dear Mukilab,
A sinosoidal curve is an oscillating curve, hence having infinite number of maximum points. But if you consider a particular domain, such as you will be able to find some maximum points in that domain. Maximum points occur when,
Hence
And since the maximum value of sinx is 1.
Therefore one could write the coodinates of the maximum points as,
Hope this will help you.
Sorry for my rash answer, all those functions did my head in.
I've looked at quite a few interactive graph plotters since then and I understand this:
Take a and b as intergers
acos(bx)
a will make the minimum and maximum y points that interger (e.g. 3cos, max y=3, min=-3)
b will make the peaks closer together, roughly halving it (cos2x has y=0 on 45, cosx has y=0 on 90)
What I don't understand is how these interact.
Common logic says 3cos2x should have a point at y=0 with coordinates 45,0 and a minimum point with coordinates 90,-3
but its not true!