Respuestas

  • Usuario de Brainly
2014-02-26T05:09:08+01:00
Solución:
=> Tgx + Ctgx = 2
=> Tgx + ( 1 / Tgx) = 2

=> [ (Tg x)^2 + 1 ] / Tg x = 2

=> Tg^2 x + 1 = 2 TG x

=> Tg^2 x - 2 Tg x + 1 = 0 ------------ (Ecuación cuadrática)
Donde: a = 1, b= -2, c= 1

=> Tg x = [ 2 +- V(2^2 - 4(1)(1)) ] / 2(1)

=> Tg x = [ 2 +- V( 4 - 4) ] / 2

=> Tg x = [ 2 +- V(0) ] / 2

=> Tg x = [ 2 +- 0 ] / 2

=> Tg x = 2 / 2

=> Tg x = 1 

=> x = arcTg (1)

=> x = 45°

Respuesta: 45°

SUERTE.