in the equation y = 4sin(zx) where z is a constant , why in certain values of z super-position is observed?

Question

when a graph of the equation y= 4* sin(x) is drawn the graph looks like result of a graphical calculator when given this equation

it looks like a , normal harmonic wave but when the equation y= 4 sin(90*x) is drawn on a graph the wave looks like a super-position result of a graphing calculator when given this equation

and at y=4*sin(100000x) the super position is not observed .

...and $y=4*sin(100000x)$ looks more solid? – Apr 27 '16 at 19:54 — , Apr 27 '16 at 19:54

score 0 · Answer 1 · answered Apr 27 '16 at 18:51

0

That's just a result of the graphics.

answered Apr 27 '16 at 18:51

user1543042

in the equation y = 4*sin(z*x) where z is a constant , why in certain values of z super-position is observed?