Question

si:arccsc[(z+1)/(z-1)]=30°,z toma el valor de
. 20°
. pi/3
. 3
. 1
. ninguna ​

Answer 1

Explicación paso a paso:

Conversión de grados a radianes:

30° (π rad/180°) = π/6

Resolviendo:

arccsc[(z+1)/(z-1)] = 30°

arccsc[(z+1)/(z-1)] = π/6

[(z+1)/(z-1)] = csc(π/6)

cscα = 1/senα:

[(z+1)/(z-1)] = 1/[sen(π/6)]

sen(π/6) = 0,5:

[(z+1)/(z-1)] = 1/0,5

[(z+1)/(z-1)] = 2

z + 1 = 2z - 2

2z - z = 1 + 2

z = 3

Es la 3ra opción.