Question

si senx= tgx calcule E= (1+sen^2x)(cos^2x) ayuda porfaaaa ​

Answer 1

Recuerda que:

$\sin ^{2} (x) + \cos {}^{2} (x) = 1 \\ \sin {}^{2} (x) = 1 - \cos {}^{2} (x)$

$\tan(x) = \frac{ \sin(x) }{ \cos(x) }$

Si aplicamos éste último al primer dato:

$\sin(x) = \frac{ \sin(x) }{ \cos(x) } \\ \cos(x) = \frac{ \sin(x) }{ \sin(x) } \\ \cos(x) = 1$

...

Reemplazando todo en E:

$E = (1 + (1 - \cos {}^{2} (x) ))( \cos {}^{2} (x) ) \\ E = (2 - {(1)}^{2} )( {(1)}^{2}) \\ E = (1)(1) \\ E = 1$