Question

Resolver el siguiente ejercicio

Answer 1

$Tanx + \frac{Cosx}{1 + Sen x} = Secx\\\\\frac{Senx}{Cosx} + \frac{Cosx}{1 + Sen x} = \frac{1}{Cosx} \\\\\frac{(Senx)(1+Senx)+ Cos^{2}x}{(Cosx)(1+Senx)} = \frac{1}{Cosx}\\\\\frac{Senx+Sen^{2}x + Cos^{2}x}{(Cosx)(1+Senx)} = \frac{1}{Cosx}\\\\\\Nota: Sen^{2}x + Cos^{2}x = 1\\\\\frac{Senx+1}{(Cosx)(1+Senx)} = \frac{1}{Cosx}\\\\\\\frac{1}{Cosx} = \frac{1}{Cosx}$