A Fourier Series is a mathematical representation of a periodic function as an infinite sum of sinusoidal functions.
A Fourier Series is calculated using the Fourier coefficients, which are determined by integrating the function over one period and solving for the coefficients.
The formula for the Fourier Series of sinx*cosx is 0.5sin2x. This is because the function can be written as a sum of two sinusoidal functions with different frequencies, and the coefficients are determined by the product of the two frequencies.
No, a Fourier Series can only accurately represent periodic functions. If a function is not periodic, the Fourier Series will have an infinite number of terms and will not converge.
Yes, the Fourier Series is unique for a given function. However, different functions can have the same Fourier Series if they have the same values over one period.