Find the sum of two sinusoidal voltages, given as follows: v1 (t)=V1 cos⁡(ωt+ϕ1) and v2 (t)=V2 cos⁡(ωt+ϕ2). You are told that V1 = 15, V2 = 13, ω = 1,000, ϕ1 = 41° and ϕ2 = 67°.

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Fourier Series

Most of the incidents studied in the field of Engineering and Science as a function of time. For example, current and voltage are in the alternating current circuit. These occasional activities can be analyzed in the activity components (fundamental frequency and harmonics) through a process called Fourier analysis.