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human
[Star Wars] Why did Palpatine try to kill Windu instead of standing trial?

Wouldnt it have been smarter to continue hiding his Sith nature from them and standing trial? 
He could have easily won the trail and convinced them that the Jedi were traitors or maybe convinced them that Anakin was lying which could have also helped in bringing Anakin to the dark side. 
I like to mention that I dont believe he was trying to lure Anakin so if he killed Mace and other 3 Jedi without Anakin showing up then it would have been more difficult getting him to turn and he would have warned the council when they returned that Palpatine killed Mace.
gpt
Because public opinion was at a point where a lot of people had lost faith in the Jedi for "starting the war." Sheev could easily push them over the brink by claiming the Jedi had attempted a coup. Much better to switch over quick when his timeline getting Anakin on his side was already extremely volatile. An extended trial risks the possibility that some new variable enters the equation before he secures his control over Anakin.