Question

Calcular: "X"
si tg (2x-10) tg (x+10)=1

Answer 1

tg(2X-10°) tg(X+10°)=1
✔LE SACAMOS SU CO-RAZON A tg(X+10°) Y ESO QUEDARIA ctg(90°-[X+10°]):

tg( 2X-10°) ctg( 90-[X+10°])=1
tg(2X-10°) ctg(80°-X)=1

✔PROPIEDAD:
tg(X) ctg(Y)=1
X=Y
✔APLICANDO LA PROPIEDAD:

2X-10°=80°-X
2X+X=80°+10°
3X=90°
X=30°

RPT: X=30°