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Math Help - How do I find the period of a periodic function with a complicated expression?

  1. #1
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    How do I find the period of a periodic function with a complicated expression?

    For example: y=sin^2(t)(2cos(2t)+2cos(4t)+2cos(6t)+2cos(8t)+1)

    The period of a sin/cos function is 2Pi/B, where B is the coefficient of the argument inside the sin/cos function. However in this case, there are multiple periodic functions. Do I have to reduce them to a single periodic function using identities and then apply the 2Pi/B expression?
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  2. #2
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    Re: How do I find the period of a periodic function with a complicated expression?

    Hey Elusive1324.

    You might want to do a fourier transform on the function and look at the result of the spectrum function.

    Fourier Transform--Cosine -- from Wolfram MathWorld

    Fourier Transform--Sine -- from Wolfram MathWorld
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