Question

Решите уравнения пожалуйста

Answer 1

Решение:

1)

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

2)

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