1. Mar 21, 2010 #1

   mathkillsme

   

   1. The problem statement, all variables and given/known data
   
   i understand how to find the period of a trig equation... (either 2pi/|b| for sin and cos or pi/|b| for tan etc. but i do not understand what information the period tells me..
   
   2. Relevant equations
   
   alright for example.. if my problem is y= 4sin2x
   
   3. The attempt at a solution
   
   the period in the above solution would be pi... correct? so what does that tell me?????

    

   mathkillsme, Mar 21, 2010
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3. Mar 21, 2010 #2

   Tedjn

   

   If you graph it, you will find that 4sin(2x) repeats itself after every multiple of pi. To be precise, the period of a function f(x) is the smallest number T such, for all x, f(x) = f(x + T). In this case, you will notice that pi is the smallest number such that, for all x, 4sin(2x) = 4sin(2(x + pi)) = 4sin(2x + 2pi).

    

   Tedjn, Mar 21, 2010

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