Question

identificaciones trigonométricas

Answer 1

1.
${senx.(tanx+cscx)=}\\\\{senx.\left(\frac{senx}{cosx}+\frac{1}{sen}\right)=}\\\\{\frac{senx}{1}.\left(\frac{sen^2x+cosx}{senx.cosx}\right)=}\\\\{\boxed{\frac{sen^2x+cosx}{cosx}}}$

2.)
${sen^2x.(ctg^2+1)=}\\\\{sen^2x.\left(\frac{cos^2x}{sen^2x}+1\right)=}\\\\{sen^2x.\left(\frac{cos^2x+sen^2x}{sen^2x}\right)=}\\\\{\frac{senx^2}{1}.\left(\frac{1}{sen^2x}\right)=}\\\\{\boxed{1}}$

3.)
${\frac{cos^2x}{senx}+senx=}\\\\{\frac{cos^2x+sen^2x}{sen}=}\\\\{\boxed{\frac{1}{senx}}}$

${\mathbf{salu2.!!\ :)}}\\{\mathbf{Wellington}}$