Question

упростите выражение:

cos(x)^2+sin(x)^4+sin(x)^2 *cos(x)^2

Answer 1

$cos^2 x+sin^4 x+sin^2 x *cos^2x=cos^2x+ sin^2 x(sin^2 x+ cos^2x)= =cos^2x+sin^2*1=cos^2x+sin^2x=1$

ответ: 1