Question

Ayudenme a resolver esta identidad trigonometrica
cos^2x=(1+senx)(1-senx)

Answer 1

Hola!

Respuesta:

La identidad trigonométrica es:

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

Explicación:

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