Bonjour
Lennyahah
Exercice 21
[tex]I:0\\\\B:\dfrac{\pi}{3}\\\\C:\dfrac{2\pi}{3}\\\\D:\pi\\\\E:-\dfrac{2\pi}{3}\\\\F:-\dfrac{\pi}{3}[/tex]
Exercice 22
[tex]A:\dfrac{2\pi}{5}\\\\B:\dfrac{4\pi}{5}\\\\C:\dfrac{6\pi}{5}\\\\D:\dfrac{8\pi}{5}\\\\I:2\pi[/tex]
Exercice 23
[tex]a=\dfrac{100\pi}{3}=\dfrac{102\pi-2\pi}{3}=\dfrac{102\pi}{3}-\dfrac{2\pi}{3}=34\pi-\dfrac{2\pi}{3}=17\times2\pi-\dfrac{2\pi}{3}\\\\\Longrightarrow a=\dfrac{100\pi}{3}\equiv\boxed{-\dfrac{2\pi}{3}\in\ ]-\pi;\pi]}[/tex]
[tex]b=2010\pi=1005\times2\pi\equiv2\pi\equiv0\\\\\Longrightarrow b=2010\pi\equiv\boxed{0\in\ ]-\pi;\pi]}[/tex]
[tex]c=\dfrac{41\pi}{4}=\dfrac{40\pi+\pi}{4}=\dfrac{40\pi}{4}+\dfrac{\pi}{4}=10\pi+\dfrac{\pi}{4}=5\times2\pi+\dfrac{\pi}{4}\\\\\Longrightarrow c=\dfrac{41\pi}{4}\equiv\boxed{\dfrac{\pi}{4}\in\ ]-\pi;\pi]}[/tex]
[tex]d=\dfrac{-41\pi}{4}=\dfrac{-40\pi-\pi}{4}=-\dfrac{40\pi}{4}-\dfrac{\pi}{4}=-10\pi-\dfrac{\pi}{4}=-5\times2\pi-\dfrac{\pi}{4}\\\\\Longrightarrow d=-\dfrac{41\pi}{4}\equiv\boxed{-\dfrac{\pi}{4}\in\ ]-\pi;\pi]}[/tex]
[tex]e=20,4\pi=\dfrac{204\pi}{10}=\dfrac{102\pi}{5}=\dfrac{100\pi+2\pi}{5}=\dfrac{100\pi}{5}+\dfrac{2\pi}{5}=20\pi+\dfrac{2\pi}{5}\\\\=10\times2\pi+\dfrac{2\pi}{5}\\\\\Longrightarrow e=20,4\pi\equiv\boxed{\dfrac{2\pi}{5}\in\ ]-\pi;\pi]}[/tex]
[tex]f=29,2\pi=\dfrac{292\pi}{10}=\dfrac{146\pi}{5}=\dfrac{150\pi-4\pi}{5}=\dfrac{150\pi}{5}-\dfrac{4\pi}{5}=30\pi-\dfrac{4\pi}{5}\\\\=15\times2\pi-\dfrac{4\pi}{5}\\\\\Longrightarrow f=29,2\pi\equiv\boxed{-\dfrac{4\pi}{5}\in\ ]-\pi;\pi]}[/tex]
