Math Is Fun Forum

simron

Real Member

Registered: 2006-10-07

Posts: 237

Properties of trigonometric waves

Someone's probably put this down somewhere, but here's something cool I found about graphing trigonometric waves.
SINE:

a=amplitude
p=period
e=exponential period
i=y-intercept
m=x-alignment
TANGENT:

a=amplitude
p=frequency
e=?
m=x-alignment
i=y-intercept
NOTE: An easy way to graph these is to ignore the sin() or tan() part. Graph this. Take into account a,p,e,and m. (For m, treat the line like the x-axis. For the rest, only account for the real x-axis.) And I do not mean arctangent by a tan.
*sigh* And this is what I do when I have too much free time.

Last edited by simron (2008-05-03 07:59:33)

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simron

Real Member

Registered: 2006-10-07

Posts: 237

Re: Properties of trigonometric waves

One cool thing that branches from this is the fact that y=sin(x)+x and y=x intersect at pπ/2 where p is the number of times it happened.

For m, treat the line like the x-axis.

I guess this makes sense.

Last edited by simron (2008-04-09 08:48:51)

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John E. Franklin

Member

Registered: 2005-08-29

Posts: 3,588

Re: Properties of trigonometric waves

I thought p would be more like frequency or the reciprocal of period.
Also, wouldn't the exponential compress the wavelength as it goes along?

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simron

Real Member

Registered: 2006-10-07

Posts: 237

Re: Properties of trigonometric waves

Yeah, that's what I meant. Sorry if it was unclear.

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