Question

Si: Tg2x.Tgx=1 Calcule el valor de: Tg2x/4

Answer 1

Respuesta:

Tg(2x/4)= 2-Raiz(3)

Explicación paso a paso:

tg(2x)*tg(x)= 1

[2 tg(x) / (1-tg^2(x)]*tg(x) - 1=0

[2 tg^2(x)/(1-tg^2(x)]-1=0

(3 tg^2-1)/(1-tg^2(x)=0

3tg^2(x)-1= 0

tg(x)=Raiz[(1/3)]

x= pi/6

Tg(2x/4)=tg[(2pi/6)/4]

Tg(2x/4)=tg(pi/12)

Tg(2x-4)=2-Raiz(3)