Tema : Identidad trigonométricaEjercicio =Demostrar que Cos⁴y - Sen⁴y / Cos y + Sen y = Cosy - SenyGracias es urgente ?
Tema : Identidad trigonométrica Ejercicio = Demostrar que Cos⁴y - Sen⁴y / Cos y + Sen y = Cosy - Seny Gracias es urgente .
En resumen
Respuesta : Explicación paso a paso : <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bcos%5E4%28y%29-sen%5E4%28y%29%7D%7Bcos%28y%29%2Bsen%28y%29%7D%3Dcos%28y%29-sen%28y%29" />Factorizando en dos terminos de la forma <img src="https://tex.z-dn.net/?
Mejor respuesta
Respuesta : Explicación paso a paso : <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bcos%5E4%28y%29-sen%5E4%28y%29%7D%7Bcos%28y%29%2Bsen%28y%29%7D%3Dcos%28y%29-sen%28y%29" />Factorizando en dos terminos de la forma <img src="https://tex.z-dn.net/?f=%28ay%5E2-by%5E2%29%28ay%5E2%2Bby%5E2%29%3Day%5E4-by%5E4" /><img src="https://tex.z-dn.net/?f=%5Cfrac%7B%28cos%5E2%28y%29-sen%5E2%28y%29%29%28cos%5E2%28x%29%2Bsen%5E2%28y%29%29%7D%7Bcos%28y%29%2Bsen%28y%29%7D%3Dcos%28y%29-sen%28y%29" />Por identidad trigonometrica <img src="https://tex.z-dn.net/?f=cos%5E2x%2Bsen%5E2x%3D1" /><img src="https://tex.z-dn.net/?f=%5Cfrac%7B%28cos%5E2%28y%29-sen%5E2%28y%29%29%281%29%7D%7Bcos%28y%29%2Bsen%28y%29%7D%3Dcos%28y%29-sen%28y%29" />Factorizando en dos terminos de la forma <img src="https://tex.z-dn.net/?f=%28ay-by%29%28ay%2Bby%29%3Day%5E2-by%5E2" /><img src="https://tex.z-dn.net/?f=%5Cfrac%7B%28cos%28y%29-sen%28y%29%28cos%28y%29%2Bsen%28y%29%29%7D%7Bcos%28y%29%2Bsen%28y%29%7D%3Dcos%28y%29-sen%28y%29" />Eliminando terminos semejantes (cos(y) + sen(y)) / (cos(y) + sen(y))cos(y) - sen(y) = cos(y) - sen(y).
(Demostrado).