Question

Ayudaaaaaaaaaaaaaaaaaaaaaa porfavor
Demuestra la siguiente identidad trigonométrica: sen²x + tan²x + cos²x = 1/cos2x​

Answer 1

sen²x + tan²x + cos²x = 1/cos2x

sen²x + cos²x = 1

tan²x = sen²x /cos²x

$1 + \frac{ {sen}^{2}x }{ {cos}^{2}x } = \frac{( {cos}^{2}x+ {sen}^{2}x) }{ {cos}^{2} x}$

[tex] \frac{ {sen}^{2}x + ( {-sen}^{2} x +1 ) }{ {cos}^{2}x } = \frac{ 1 }{ {cos}^{2} x}

........ Kd