a) $m=1 $ => $P=\frac{2\cos x+2}{\sin x+\cos x+2}$$<=> P\sin x+(P-2)\cos x=2-2P$ (*)PT (*) có nghiệm khi: $P^{2}+(P-2)^{2}\geq (2-2P)^{2}$$<=> (P-1)^{2}\leq 1$=> $0\leq P \leq 2$...b) $P\sin x+cosx(P-2m)=m+1-2P$ (**)PT (**) có nghiệm khi: $P^{2}+(P-2m)^{2}\geq (m+1-2P)^{2}$....$<=> 2P^{2}-3m^{2}-4P+2m+1\leq 0$$Delta = 6(m-\frac{1}{3})^{2}+\frac{4}{3}\geq \frac{4}{3}$=> PT luôn có nghiệm.Min Delta $= \frac{4}{3}$ khi $m=1/3$=> $Max_{P} min <=> m=\frac{1}{3}$
a) $m=1 $ => $P=\frac{2\cos x+2}{\sin x+\cos x+2}$$<=> P\sin x+(P-2)\cos x=2-2P$ (*)PT (*) có nghiệm khi: $P^{2}+(P-2)^{2}\geq (2-2P)^{2}$$<=> (P-1)^{2}\leq 1$=> $0\leq P \leq 2$...b) $P\sin x+cosx(P-2m)=m+1-2P$ (**)PT (**) có nghiệm khi: $P^{2}+(P-2m)^{2}\geq (m+1-2P)^{2}$....$<=> 2P^{2}-3m^{2}-4P+2m+1\leq 0$$Delta = 6(m-\frac{1}{2})+\frac{4}{3}\geq \frac{4}{3}$=> PT luôn có nghiệm.Min Delta $= \frac{4}{3}$ khi $m=1/3$=> $Max_{P} min <=> m=\frac{1}{3}$
a) $m=1 $ => $P=\frac{2\cos x+2}{\sin x+\cos x+2}$$<=> P\sin x+(P-2)\cos x=2-2P$ (*)PT (*) có nghiệm khi: $P^{2}+(P-2)^{2}\geq (2-2P)^{2}$$<=> (P-1)^{2}\leq 1$=> $0\leq P \leq 2$...b) $P\sin x+cosx(P-2m)=m+1-2P$ (**)PT (**) có nghiệm khi: $P^{2}+(P-2m)^{2}\geq (m+1-2P)^{2}$....$<=> 2P^{2}-3m^{2}-4P+2m+1\leq 0$$Delta = 6(m-\frac{1}{
3})
^{2}+\frac{4}{3}\geq \frac{4}{3}$=> PT luôn có nghiệm.Min Delta $= \frac{4}{3}$ khi $m=1/3$=> $Max_{P} min <=> m=\frac{1}{3}$