Question

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Demostrar que senx + tanx / 1 + cosx = tan x

Answer 1

 (sin(x) + tan(x)) / (1 + cos(x)) 
= (sin(x) + sin(x)/cos(x)) / (1 + cos(x)) 
= sin(x)(1 + 1/cos(x)) / (1 + cos(x)) 
= sin(x)cos(x)(1 + 1/cos(x)) / (cos(x)(1 + cos(x))) 
= sin(x)(cos(x) + 1) / (cos(x)(1 + cos(x))) 
= sin(x) / cos(x) 
= tan(x)