Question

АЛГЕБРА! НАЙТИ НАИМЕНЬШИЙ ПОЛОЖИТЕЛЬНЫЙ ПЕРИОД ФУНКЦИИ

Answer 1

Ответ:

$2)\; \; y=2cos(\frac{x}{7}-\frac{\pi}{4})+\underbrace {cos\, 90^\circ }_{0}-2=2cos(\frac{x}{7}-\frac{\pi}{4})-2\\\\T_{naimen}(cosx)=2\pi \; \; \Rightarrow \; \; \; T\Big (cos(\frac{x}{7}-\frac{\pi}{4})\Big )=\frac{2\pi }{\frac{1}{7}}=2\pi \cdot 7=14\pi \\\\T\Big (cos(\frac{x}{7}-\frac{\pi}{4})-2\Big )=14\pi \\\\\\3)\; \; y=ctg(0,5x+\frac{\pi}{4})+6\, \underbrace {sin180^\circ }_{0}=ctg(0,5x+\frac{\pi}{4})\\\\T_{naimen}(ctgx)=\pi \; \; \Rightarrow \; \; \; T\Big (ctg(0,5x+\frac{\pi}{4})\Big )=\frac{\pi}{0,5}=2\pi$