Roots of sine and cosine functions
The aim of this work is to obtain a general formula for the roots of functions of the type f(x) = k sin(a(x − c)) + b, g(x) = k cos(a(x − c)) + b, for differents values of a, b, c and k. We start finding, for each one of the given functions, a root xR and the abscise xM of a maximum point which is a...
Guardado en:
| Autores principales: | , |
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| Formato: | Artículo revista |
| Lenguaje: | Español |
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Unión Matemática Argentina - Facultad de Matemática, Astronomía, Física y Computación
2023
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| Materias: | |
| Acceso en línea: | https://revistas.unc.edu.ar/index.php/REM/article/view/41056 |
| Aporte de: |
| Sumario: | The aim of this work is to obtain a general formula for the roots of functions of the type
f(x) = k sin(a(x − c)) + b, g(x) = k cos(a(x − c)) + b,
for differents values of a, b, c and k. We start finding, for each one of the given functions, a root xR and the abscise xM of a maximum point which is adjacent of xR. From the distance between these two values and the period of the function, all the other roots are determined. |
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