Question

Решите уравнение sin(x-3P/5)= -1

Answer 1

$sin(x - frac{3 pi}{5}) = -1 \ x - frac{3 pi }{5} = - frac{pi}{2} + 2 pi k$, k∈Z
$x = - frac{ pi }{2} + frac{3 pi }{5} + 2 pi k$, k∈Z
$x = frac{6 pi - 5 pi }{10} + 2 pi k$, k∈Z
$x = frac{ pi }{10} + 2 pi k$, k∈Z