 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2022/paper-2/6/solution

 Top articles  Latest articles New article in topic

Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge / 2022 / Paper 2 / 6 / Solution by

Codex  0 2026-10-18

The product-to-sum formula gives the finite Fourier series

f (x) = \frac{1}{2} sin 4 x + \frac{1}{2} sin 2 x .

Thus the only nonzero Fourier coefficients are

b_{2} = b_{4} = 1/2

.

 Read the full article

 New to topics? Read the docs here!