# The fundamental period

1. whats the fund. period of f(t)= sin6t + cos8t?

2. the fund period of the first term is pi/3, the second pi/4

3. do i just add the 2 fundamental periods up to get the whole fund period? also for the fourier coefficients of this function, should i use euler's to make it into exponentials before i integrate to avoid by parts method? or just integrate as is.

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fzero
Homework Helper
Gold Member
What is the definition of the fundamental period? Does the sum of pi/3 and pi/4 satisfy the definition?

What is the definition of the fundamental period? Does the sum of pi/3 and pi/4 satisfy the definition?

im not sure. the fund freq is the smallest period for the function and pi/3 and pi/4 are those... summed right

fzero
Homework Helper
Gold Member
I'm asking you because you don't seem to understand the definition and that's where we need to start to do this problem. The (fundamental) period of a function is the smallest value of T such that f(t+T) = f(t). You should verify that your guess doesn't satisfy this.

It's unnecessary to try to guess at solutions. You can use the trig sum of angle formulas to solve this equation explicitly. Otherwise you have to know something about common multiples.

I'm asking you because you don't seem to understand the definition and that's where we need to start to do this problem. The (fundamental) period of a function is the smallest value of T such that f(t+T) = f(t). You should verify that your guess doesn't satisfy this.

It's unnecessary to try to guess at solutions. You can use the trig sum of angle formulas to solve this equation explicitly. Otherwise you have to know something about common multiples.

can you save me the misery and tell me what it is? i work better once i have the solution is it pi?

fzero