This is a blog for my second semester pre-calculus 30s students. Have a blast!

Tuesday, February 21, 2006

sine and cosine graphs...

This is something I got from my trigonometry class last year in the Philippines...



I hope this can help most of you guys in figuring out how the graphs work...


Image Hosting by PictureTrail.com

sin graphs always start at zero (only if there is no vertical shift)

+ cos graphs start at the MAX point

-cos graphs start at the MIN point

These graphs have zero vertical shift and zero horizontal shift... so it's just the basic form of the graphs...

Also...

sin -360= 0
sin -270= 1
sin-180= 0
sin -90= -1
sin 0= 0
sin 90= 1
sin 180= 0
sin 270= -1
sin 360= 0




cos -360= 1
cos -270= 0
cos -180 = -1
cos -90= 0
cos 0= 1
cos 90= 0
cos 180= -1
cos 270= 0
cos 360= 1

I know this isn't that much of a help since these are obvious data in periodic graphs...






y= asinx + k y= acosx + k

k= vertical shift
a= amptitude... (did i spell it right?) or also known as the stretch factor of a periodic graph


Well... that's how i understood the stuff...

Hope this can actually help...

Sorry if the post was made this late coz i was finishing some other stuff...

3 Comments:

Blogger John D. - #12 said...

Thanks man! This helps a lot.

1:16 AM

 
Blogger Mr. Malandrakis said...

Thanks Miles,

I, along with most of your classmates, appreciate you taking the time and initiative and doing this when you didn't have to. Bravo!

Mr.M

7:26 AM

 
Blogger tim-Math-y said...

nice

9:18 PM

 

Post a Comment

<< Home