09. Serie de Fourier de Funciones TRIGONOMÉTRICAS realizando Comparación de coeficientes

In this video, we'll see how to calculate the Fourier series of the trigonometric functions sine and cosine, comparing the coefficients in a very simple, step-by-step way. ⏮️ Previous:    • 08. Ejemplos de Series de Fourier PAR e IMPAR   ⏭️ Next:    • 10. Serie de Fourier separando Casos y emp...   ❇️ ANSWERS:    • 💎09. Serie de Fourier de Funciones TRIGONO...   ▶️ Fourier Analysis Course:    • Curso de Análisis de Fourier   ▶️ Even and Odd Functions, Definition, Examples, Graphs, and Symmetries:    • Función par e impar, definición, ejemplos,...   00:00 Introduction and Review of Types of Fourier Series 01:07 Example 1: Comparing Coefficients in an Interval from -pi to pi 02:35 Method of Comparing Coefficients vs. Integral Formulas 03:39 Calculating coefficients a0, an, and bn by comparison 05:02 Analysis of the finite Fourier series 06:09 Example 2: Fourier series of the cube of sine of x 07:20 Trigonometric identity for powers of sine 07:41 Proof of the identity of the cube of sine 10:10 Comparing coefficients for the cube of sine 11:24 Example 3: Cosine squared with a different period 12:45 Trigonometric identity for the square of cosine 13:40 Adjusting arguments and comparing coefficients for n=8 16:11 Case where comparison of coefficients cannot be used 17:58 Practice exercises for the viewer 19:00 Preview of the next chapter: Fourier series using formulas #fourier #math #easymath 🚥🚥🚥🚥🚥🚥🚥🚥🚥 🎞️ CHECK OUT MORE FREE COURSES 🎞️ 📖 Math Review Course (Pre-University)    • Curso de Repaso de Matemáticas   🔥 Integrals:    • Curso Completo de Integrales - Cálculo Int...   🎡 Applications of Integrals:    • Aplicaciones de las Integrales   ☕ Ordinary Differential Equations (ODEs):    • Curso Completo de Ecuaciones Diferenciales   🌉 Partial Differential Equations (PDEs):    • Curso Completo de Ecuaciones en derivadas ...   🔬 Applications of Differential Equations:    • Aplicaciones de Ecuaciones Diferenciales   ➿ Linear Algebra:    • Curso de ÁLGEBRA LINEAL   🎈 Multivariable Calculus (Vector Calculus):    • Curso Completo de Cálculo de varias variab...   🌋 Double and Triple Integrals:    • Integrales dobles y triples   ⚡ Complex Variables:    • Curso Completo de Variable Compleja (Cálcu...   ♾️ Sequences and Series:    • Sucesiones y Series (Sumatorias, notación ...   🌐 Polar, Cylindrical, and Spherical Coordinates:    • Coordenadas Polares, cilíndricas, esférica...   🕸️ Parametric Curves and Equations:    • Curvas paramétricas   🕯️ Fourier Analysis Course:    • Curso de Análisis de Fourier   💎 Exclusive Videos 💎:    • Members-only videos   🚥🚥🚥🚥🚥🚥🚥🚥🚥 🪐 ALL MY COURSES 🪐 🔗 https://matefacil.net/ 🚥🚥🚥🚥🚥🚥🚥🚥🚥 📚 BIBLIOGRAPHY 📖 📙 Advanced Modern Engineering Mathematics, Glyn James 📗 Advanced Engineering Mathematics, Peter V. O'Neil 📘 Advanced Mathematics, Dennis Zill 📕 Advanced Mathematics, Erwin Kreyszig 📙 Partial Differential Equations, Richard Haberman 📗 Advanced Engineering Mathematics, Dean G. Duffy 📘 Mathematical Methods, Mary L. Boas 📕 Partial Differential Equations, Peter J. Olver 📙Mathematical Methods, George Arfken 📗 Advanced Mathematics, Popescu (Springer) 🚥🚥🚥🚥🚥🚥🚥🚥🚥 🏦 DONATIONS 🙏 🅿️ Paypal: https://www.paypal.com/cgi-bin/webscr... 💎 Channel Memberships:    / @matefacilyt   🔸 Patreon:   / matefacil   🚥🚥🚥🚥🚥🚥🚥🚥🚥 🛜 MY OTHER CHANNELS AND SOCIAL MEDIA 🛜 🟪 Telegram Group: https://t.me/matefacilgrupo 🟥 Physics Channel:    / @matefacilfisica   🟩 Personal Channel:    / @matefacily   ⬛ Twitch:   / matefacil   🟦 Facebook (Page):   / matefacilyt   🟫 Twitter:   / matefacilx   🟧 Instagram:   / matefacilx   ⬜ TikTok:   / matefacilx   🟨 Discord:   / discord   🚥🚥🚥🚥🚥🚥🚥🚥🚥 #Mathematics #Math #tutorials #teacher __________________________________ - The best free math courses. Complete math courses from scratch. Step-by-step math video tutorials. Solved examples of Fourier series. Solved and explained exercises on Fourier transforms. Complete free Fourier course explained step by step from scratch.