Известно, что sint+cost=0,6 Вычислите: tgt sint + ctg t cos t
sint+cost=0,6 возведем обе части в квадрат
sin^2t+2sintcost+cos^2t=0.36
1+2sintcost=0.36
2sintcost=-0.64
sintcost=-0,32
tgt sint + ctg t cos t=sint*sint/cost+cost*cost/sint=(sin^3 t+cos^3 t)/sintcost=
={(sint+cost)(sin^2t-sintcost+cos^2t)}/sintcost={(sint+cost)(1-sintcost)}/sintcost=
={0.6*(1+0.32)}/(-0.32)={0.6*1.32}/(-0.32)={0.6*0.33}/(-0.08)=0.3*0.33/(-0.04)=
=-9.9/4=-99/40=-2 19/40
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sint+cost=0,6 возведем обе части в квадрат
sin^2t+2sintcost+cos^2t=0.36
1+2sintcost=0.36
2sintcost=-0.64
sintcost=-0,32
tgt sint + ctg t cos t=sint*sint/cost+cost*cost/sint=(sin^3 t+cos^3 t)/sintcost=
={(sint+cost)(sin^2t-sintcost+cos^2t)}/sintcost={(sint+cost)(1-sintcost)}/sintcost=
={0.6*(1+0.32)}/(-0.32)={0.6*1.32}/(-0.32)={0.6*0.33}/(-0.08)=0.3*0.33/(-0.04)=
=-9.9/4=-99/40=-2 19/40