Fundamental Frequency of Fourier Equation in Cosine Form Date of Exam May 2016 Subject Mathematics, Surveying and Transportation Engineering Problem Given the Fourier equation: f(t) = 5 cos (20πt) + 2 cos (40πt) + cos (80πt) What is the fundamental frequency? A. 10 C. 40 B. 20 D. 30 Answer Key Click here to show or hide the answer key [ A ] Solution Click here to expand or collapse this section Note: From y = a cos bt, the frequency f = b/2π For 5 cos (20πt): f1 = 20π/2π = 10 For 2 cos (40πt): f2 = 40π/2π = 20 For cos (80πt): f3 = 80π/2π = 40 fundamental frequency, f0 = lowest frequency f0 = 10 Answer: [ A ] Category Plane Trigonometry Frequency Log in to post comments