Question

Решите уравнения пожалуйста

Answer 1

Решение:

1)

$4sin(x) + 2 = 0\\\\4sin(x) = -2\\\\sin(x) = \frac{-2}{4}\\\\sin(x) = -\frac{1}{2}\\\\x_1 = -\frac{\pi}{6}+2\pi n, n\in Z \\\\x_2 = \frac{7\pi}{6} +2\pi n, n\in Z$

2)

$\frac{13sin(x)}{2} - \frac{13}{4} = 0\\\\\frac{13sin(x)}{2} = \frac{13}{4}\\\\26sin(x) = 13\\\\sin(x) = \frac{13}{26} = \frac{1}{2}\\\\x_1 = \frac{\pi}{6} + 2\pi n, n\in Z\\\\x_2 = \frac{5\pi}{6} + 2\pi n, n\in Z$