Tenglamani yeching: 7x· x=6x a) Tenglamaning eng kichik musbat ildizini toping. b) Tenglama x∈[-π;π] kesmada…

$\sin7x\cos x=\frac12(\sin8x+\sin6x)$, shuning uchun tenglama $\sin8x-\sin6x=0$, ya’ni $2\cos7x\sin x=0$. $\sin x=0$ dan $x=\pi k$, $\cos7x=0$ dan $x=\frac{\pi}{14}+\frac{\pi k}{7}$. a) Eng kichik musbat ildiz $\frac{\pi}{14}$. b) $[-\pi;\pi]$ kesmada $\sin x=0$ ning 3 ta ildizi ($-\pi$, 0, $\pi$) va $\cos7x=0$ ning 14 ta ildizi bor, ular ustma-ust tushmaydi: jami 17 ta.

Manba: UZBMB namunaviy test topshiriqlari (Milliy sertifikat, Matematika)