Question

simplifica: (sin A + cos A)² + (sin A-cos A)² porfavor​

Answer 1

Respuesta:

2

Explicación paso a paso:

propiedad:

$sen^2(\alpha)+cos^2(\alpha)=1$

$[sin(A)+cos(A)]^2+[sin(A)-cos(A)]^2\\\\ sin^2(A)+2[sin(A)][cos(A)]+cos^2(A)+sin^2(A)-2[sin(A)][cos(A)]+cos^2(A)\\\\ sin^2(A)+cos^2(A)+sin^2(A)+cos^2(A)+2[sin(A)][cos(A)]-2[sin(A)][cos(A)]\\\\ 1+1\\ 2$