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.
