Question

sinx-4cosx=0
выручайте ребят.

Answer 1

$sin(x) - 4 cos(x) = 0$

Упростим уравнение по формуле:

$a sin(x) + b cos(x) = sqrt{ {a}^{2} + {b}^{2} } sin(x + arctg( frac{b}{a} ))$

$sqrt{1 + {4}^{2} } sin(x + arctg4) = 0 \ sin(x + arctg4) = 0 \ x + arctg4 = pi n \ x = - arctg4 + pi n, :n in Z$