Question

Упростите: sin^4x-cos^4x+cos^2x

СРОЧНО!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

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