Question

Simplificar la siguiente operacion

Answer 1

Sabemos que:

tanA*cotA = 1

Entonces:

E = (tanα + tanβ)/(cotα + cotβ) - tanα.tanβ

E = [tanα + tanβ - (cotα + cotβ).(tanα.tanβ)]/(cotα + cotβ)

E =  [tanα + tanβ - (cotα.tanα.tanβ + cotβ.tanα.tanβ)]/(cotα + cotβ)

E = [tanα + tanβ -  (tanβ + tanα)]/(cotα + cotβ)

E = 0/(cotα + cotβ)

E = 0 (Respuesta)