I need some help with drawing y=sin(x) and y=cos(x) graphs. For example I have y=sin(x + pi/6) and y=cos(3x). How to draw graphs of these trigonometrical functions? How to find out points x and y to draw? I know that first step is finding period of the function. But I don't know how to do that too. So, could someone explain me this?
So if there is y=sin(3x), it means that the graph is three times tightened? I mean that if in y=sin(x) the graph crosses the x-axis in , it will cross it in point in y=sin(3x)? And for example if there is y=sin(x/5), it means that the graph is five times strained? It will cross x-axis in ?
And waht about cos? Is the way of drawing it the same?
cos(x) is a known graph but the transformations apply equally-for example cos(3x) will also be 3 times tightened
EDIT: see the attached graphs for how it would look for various transformations - the first one is from and the second based on
EDIT II: You may notice that the graph of is to the right of the graph for . Can you deduce a relationship between sin(x) and cos(x) based on this information?