Question

помогите пож-та упростить: sin^4+sin^2*cos^2-sin^2

Answer 1

$sin ^{4} x+sin^{2} x*cos^{2} x-sin^{2} x= sin^{4} x+sin^{2} x(cos^{2} x-1)= \ =sin ^{4} x-sin^{2} x(1-cos ^{2} x)=sin ^{4} x-sin^{2} x*sin ^{2} x=sin^{4} x- \ -sin ^{2} x*sin ^{2} x=sin ^{4} x-sin ^{4} x=0$