Question

Calcular: "X"
Si sen (5x-30)=chos(x+30)

Answer 1

Calcular: "X"
Si : sen (5x-30)=cos(x+30)

Aplicamos la propiedad :

$Raz\'on\ \alpha = \bf90\° - Raz\'on$

$\boxed{Sen_{\alpha}=Cos_{\beta} = \alpha + \beta = 90\° }$

Aplicando la propiedad.

$Sen_{(5x-30)}=Cos_{(x+30)} \\ \\ 5x - 30= x + 30 \\ \\ 5x- \not{ 30} + x + \not{30} = 90\° \\ \\ 6x = 90 \\ \\ \boxed{x=15}$