Question
\( f(x)=\cos (4 x-\pi) \) funksiyaning eng kichik musbat davrini toping. \( \begin{array}{llll}\text { A) } \frac{\pi}{4} & \text { B) } \frac{\pi}{2} & \text { C) } \frac{3 \pi}{4} & \text { D) } \pi\end{array} \)
Ask by Black West. in Uzbekistan
Jan 21,2025
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Answer
Eng kichik musbat davri \( \frac{\pi}{2} \).
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Bonus Knowledge
Kosinus funktsiyasining eng kichik musbat davri \( T = \frac{2\pi}{k} \) formulasiga ko'ra hisoblanadi, bu yerda \( k \) - funktsiyaning argumentidagi koeffitsient. Sizning funksiya \( f(x) = \cos(4x - \pi) \) bo'lgani uchun, \( k = 4 \). Demak, musbat davr \( T = \frac{2\pi}{4} = \frac{\pi}{2} \) ga teng. Shuning uchun, to'g'ri javob B) \( \frac{\pi}{2} \) bo'ladi.