1)
[tex]z=1+(-1)i\\
arg(z)=\frac{3\pi}{2}+arctg\frac{|-1|}{1}=\frac{3\pi}{2}+\frac{\pi}{4}=\frac{7\pi}{4}[/tex]
2)(f₀f)(0)=f(f(0))=...
3)[tex]sinx-cosx=0\\
\sqrt{2}(sinx\cdot cos\frac{\pi}{4}-sin\frac{\pi}{4}\cdot cosx)=0\\
\sqrt{2}(sin(x-\frac{\pi}{4})=0=>sin(x-\frac{\pi}{4})=0\\
x-\frac{\pi}{4}=(-1)^karcsin0+k\pi,z\in Z\\
x=\frac{\pi}{4}+k\pi,k\in Z[/tex]
5)CA=CB=>[tex] \sqrt{(x-2)^2+(y-0)^2} = \sqrt{(x-0)^2+(y-3)^2} \\
(x-2)^2+(y-0)^2 = (x-0)^2+(y-3)^2\\
-4x+6y-5=0[/tex] Adiica punctul C se gaseste pe drepta de ecuatie :-4x+6y-5=0.
