5. Знайти період функції:
[tex]1) y = sin \: 2x[/tex]
[tex]2)y = cos \: \frac{x}{4} [/tex]
[tex]1) y = sin \: 2x[/tex]
[tex]2)y = cos \: \frac{x}{4} [/tex]
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[tex]\sin 2x=\sin (2(x+\pi))\Rightarrow P=\pi\\\cos \frac{x}{4}=\cos \frac{x+\pi}{4}\Rightarrow P=8\pi[/tex]