Question

Si: Tan(X+ Y) =5 ,ademas Tanx=7, Hallar TanY Respuesta:TanY= -1\18

Answer 1

tangente de la suma de dos angulos  

tan(α +β) = tanα + tanβ / 1 - tanα.tanβ

Tan(X+ Y) =5 ,ademas Tanx=7, Hallar TanY

Tan(X+ Y) =5

tanx + tany / 1 - tanx.tany = 5

7 + tany / 1 - 7.tany = 5

7 + tany = 5( 1 - 7.tany)

7 + tany = 5 - 35tany

36tany = 5 - 7

36tany = -2

tany = -2/36

tany = -1/18