Final answer:
The Fourier series coefficients, or an, can be found by evaluating the inner product of the given function and the cosine function.
Step-by-step explanation:
The Fourier series of a function is a way to represent the function as an infinite sum of sine and cosine terms. In this case, we are looking for the Fourier series coefficients, or an, for the product of cosine and sine functions over the interval [-π, π].
To find the Fourier series coefficients, we need to calculate the inner product of the given function and the cosine function. The inner product is essentially an integral that measures how similar two functions are.
By evaluating the inner product using the given limits of integration, we can determine the value of an, which will be a constant for each term in the Fourier series.