Question

Simplifique as expressoes:
Sen(π-x)+cos(π/2-x) / cos(π+x)*tg(2π-x)?

Answer 1

Olá,

$\frac{sen( \pi -x)+cos( \pi /2 -x)}{cos( \pi +x)*tg(2 \pi -x)} \\\\ \frac{sen \pi *cosx-senx*cos \pi +cos (\pi/2) *cosx+sen( \pi /2)*senx}{(cos \pi *cosx-sen \pi *senx)*tg(2 \pi -x)} \\\\ \frac{0*cosx-senx*(-1)+0*cosx+1*senx}{(-1*cosx-0*senx)*tg(2 \pi -x)} \\\\ \frac{senx+senx}{(-cosx)*( \frac{tg2 \pi +tgx}{1+tg2 \pi *tgx} )} \\\\ \frac{2senx}{(-cosx)*tgx} \\\\ \frac{2senx}{-cosx*( \frac{senx}{cosx} )} \\\\ \frac{2senx}{-senx} = -2$

Bons estudos ;)