Question

16(sin^3+cos^3) если sin+cos=0.5

Answer 1

$sin x cos x=0.5((sin x+cos x)^2-1)=0.5*(0.5^2-1)=-0.375$

 

$16(sin^3 x+cos^3 x)=\ 16(sin x+cos x)(sin^2 x+cos^2 x+2sin xcos x)=\ 16*0.5*(1+2*(-0.375))=2$

 

ответ: 2