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What exactly does the period tell you in a trig graph?

  • #1

Homework Statement



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..

Homework Equations



alright for example.. if my problem is y= 4sin2x

The Attempt at a Solution



the period in the above solution would be pi... correct? so what does that tell me?????
 

Answers and Replies

  • #2
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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).
 

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