Respuesta :

hkh91

Answer:

LHS = RHS

Step-by-step explanation:

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

Since,

[tex] { \sin(x) }^{2} + { \cos(x) }^{2} = 1[/tex]

THEREFORE LHS = RHS