AS/A2 Pure 4 Pure 6

P5 Topic 2: Hyperbolic functions
Graphs and properties: arc cosh(ax) and logs
Move the point a left or right to change the value of the parameter a in the graphs of y = arccosh(ax) and y = ln[ax + Ö((ax)2-1)]. What do you notice?

y = arccosh(ax)	y = ln[ax + Ö( (ax)2-1)]

Summary does arccosh(ax) = ln[ax + Ö((ax)2-1)]? The Plane Graphic Calculator java applet