Question

O valor de K para o qual (cos x + sen x) ao quadrado + k. sen x. cos x = 1

Answer 1

$(cos x + senx)^{2} + k.cosxsenx=1$ $--\ \textgreater \ cos ^{2} x +sen ^{2} x+2cosxsenx+ k.cosxsenx=1$ $1+2cosxsenx+ k.cosxsenx=1--\ \textgreater \ cosxsenx (2 + k)=0$ $--\ \textgreater \ 2 + k=0--\ \textgreater \ k = -2$