Question

identidad trigonometrica
sen^2x+sen^2x.tan^2x=tan^2x
¡por favor!

Answer 1

$sen^2x+sen^2xtan^2x=\\{sen^2x+sen^2x( \frac{sen^2x}{cos^2x})=}\\{sen^2x+ \frac{sen^4x}{cos^2x}=}\\{ \frac{sen^2cos^2x+sen^4x}{cos^2x} =}\\{\frac{sen^2x(1-sen^2x)+sen^4x}{cos^2x}=}\\{ \frac{sen^2x-sen^4+sen^4x}{cos^2x} =}\\{ \frac{sen^2x}{cos^2x} =}\\{tan^2x}\\\\{salu2. !!}$